diff --git a/Library/Homebrew/livecheck/livecheck.rb b/Library/Homebrew/livecheck/livecheck.rb
index 7c832bf4e5..07c2cec10d 100644
--- a/Library/Homebrew/livecheck/livecheck.rb
+++ b/Library/Homebrew/livecheck/livecheck.rb
@@ -524,7 +524,7 @@ module Homebrew
 
         if debug
           puts "URL (strategy):   #{strategy_data[:url]}" if strategy_data[:url] != url
-          puts "URL (final):   #{strategy_data[:final_url]}" if strategy_data[:final_url]
+          puts "URL (final):      #{strategy_data[:final_url]}" if strategy_data[:final_url]
           puts "Regex (strategy): #{strategy_data[:regex].inspect}" if strategy_data[:regex] != livecheck_regex
         end
 
diff --git a/Library/Homebrew/livecheck/strategy/apache.rb b/Library/Homebrew/livecheck/strategy/apache.rb
index 194cb25266..c4f5b704db 100644
--- a/Library/Homebrew/livecheck/strategy/apache.rb
+++ b/Library/Homebrew/livecheck/strategy/apache.rb
@@ -59,7 +59,7 @@ module Homebrew
           # * `/href=["']?example-v?(\d+(?:\.\d+)+)-bin\.zip/i`
           regex ||= /href=["']?#{Regexp.escape(prefix)}v?(\d+(?:\.\d+)+)#{Regexp.escape(suffix)}/i
 
-          Homebrew::Livecheck::Strategy::PageMatch.find_versions(page_url, regex)
+          PageMatch.find_versions(page_url, regex)
         end
       end
     end
diff --git a/Library/Homebrew/livecheck/strategy/bitbucket.rb b/Library/Homebrew/livecheck/strategy/bitbucket.rb
index 48d20a7860..b3dd77376f 100644
--- a/Library/Homebrew/livecheck/strategy/bitbucket.rb
+++ b/Library/Homebrew/livecheck/strategy/bitbucket.rb
@@ -71,7 +71,7 @@ module Homebrew
           # * `/href=.*?example-v?(\d+(?:\.\d+)+)\.t/i`
           regex ||= /href=.*?#{Regexp.escape(match[:prefix])}v?(\d+(?:\.\d+)+)#{Regexp.escape(suffix)}/i
 
-          Homebrew::Livecheck::Strategy::PageMatch.find_versions(page_url, regex)
+          PageMatch.find_versions(page_url, regex)
         end
       end
     end
diff --git a/Library/Homebrew/livecheck/strategy/cpan.rb b/Library/Homebrew/livecheck/strategy/cpan.rb
index 5b74154c28..18d6b2c55d 100644
--- a/Library/Homebrew/livecheck/strategy/cpan.rb
+++ b/Library/Homebrew/livecheck/strategy/cpan.rb
@@ -54,7 +54,7 @@ module Homebrew
           # Example regex: `/href=.*?Brew[._-]v?(\d+(?:\.\d+)*)\.t/i`
           regex ||= /href=.*?#{prefix}[._-]v?(\d+(?:\.\d+)*)#{Regexp.escape(suffix)}/i
 
-          Homebrew::Livecheck::Strategy::PageMatch.find_versions(page_url, regex)
+          PageMatch.find_versions(page_url, regex)
         end
       end
     end
diff --git a/Library/Homebrew/livecheck/strategy/github_latest.rb b/Library/Homebrew/livecheck/strategy/github_latest.rb
index d3afcddbf4..a1e7c051d6 100644
--- a/Library/Homebrew/livecheck/strategy/github_latest.rb
+++ b/Library/Homebrew/livecheck/strategy/github_latest.rb
@@ -65,7 +65,7 @@ module Homebrew
           # The default regex is the same for all URLs using this strategy
           regex ||= %r{href=.*?/tag/v?(\d+(?:\.\d+)+)["' >]}i
 
-          Homebrew::Livecheck::Strategy::PageMatch.find_versions(page_url, regex)
+          PageMatch.find_versions(page_url, regex)
         end
       end
     end
diff --git a/Library/Homebrew/livecheck/strategy/gnome.rb b/Library/Homebrew/livecheck/strategy/gnome.rb
index 9432015a61..73c3430818 100644
--- a/Library/Homebrew/livecheck/strategy/gnome.rb
+++ b/Library/Homebrew/livecheck/strategy/gnome.rb
@@ -53,7 +53,7 @@ module Homebrew
           # Example regex: `/example-(\d+\.([0-8]\d*?)?[02468](?:\.\d+)*?)\.t/i`
           regex ||= /#{Regexp.escape(package_name)}-(\d+\.([0-8]\d*?)?[02468](?:\.\d+)*?)\.t/i
 
-          Homebrew::Livecheck::Strategy::PageMatch.find_versions(page_url, regex)
+          PageMatch.find_versions(page_url, regex)
         end
       end
     end
diff --git a/Library/Homebrew/livecheck/strategy/gnu.rb b/Library/Homebrew/livecheck/strategy/gnu.rb
index 1d181d3992..427d08d8b1 100644
--- a/Library/Homebrew/livecheck/strategy/gnu.rb
+++ b/Library/Homebrew/livecheck/strategy/gnu.rb
@@ -89,7 +89,7 @@ module Homebrew
           # Example regex: `%r{href=.*?example[._-]v?(\d+(?:\.\d+)*)(?:\.[a-z]+|/)}i`
           regex ||= %r{href=.*?#{project_name}[._-]v?(\d+(?:\.\d+)*)(?:\.[a-z]+|/)}i
 
-          Homebrew::Livecheck::Strategy::PageMatch.find_versions(page_url, regex)
+          PageMatch.find_versions(page_url, regex)
         end
       end
     end
diff --git a/Library/Homebrew/livecheck/strategy/hackage.rb b/Library/Homebrew/livecheck/strategy/hackage.rb
index 968a41f344..49240e752a 100644
--- a/Library/Homebrew/livecheck/strategy/hackage.rb
+++ b/Library/Homebrew/livecheck/strategy/hackage.rb
@@ -43,7 +43,7 @@ module Homebrew
           # Example regex: `%r{<h3>example-(.*?)/?</h3>}i`
           regex ||= %r{<h3>#{Regexp.escape(package_name)}-(.*?)/?</h3>}i
 
-          Homebrew::Livecheck::Strategy::PageMatch.find_versions(page_url, regex)
+          PageMatch.find_versions(page_url, regex)
         end
       end
     end
diff --git a/Library/Homebrew/livecheck/strategy/launchpad.rb b/Library/Homebrew/livecheck/strategy/launchpad.rb
index 8a820cf8aa..b0611f474d 100644
--- a/Library/Homebrew/livecheck/strategy/launchpad.rb
+++ b/Library/Homebrew/livecheck/strategy/launchpad.rb
@@ -49,7 +49,7 @@ module Homebrew
           # The default regex is the same for all URLs using this strategy
           regex ||= %r{class="[^"]*version[^"]*"[^>]*>\s*Latest version is (.+)\s*</}
 
-          Homebrew::Livecheck::Strategy::PageMatch.find_versions(page_url, regex)
+          PageMatch.find_versions(page_url, regex)
         end
       end
     end
diff --git a/Library/Homebrew/livecheck/strategy/npm.rb b/Library/Homebrew/livecheck/strategy/npm.rb
index 3edeec0aab..e81c369475 100644
--- a/Library/Homebrew/livecheck/strategy/npm.rb
+++ b/Library/Homebrew/livecheck/strategy/npm.rb
@@ -46,7 +46,7 @@ module Homebrew
           # * `%r{href=.*?/package/@example/example/v/(\d+(?:\.\d+)+)"}i`
           regex ||= %r{href=.*?/package/#{Regexp.escape(package_name)}/v/(\d+(?:\.\d+)+)"}i
 
-          Homebrew::Livecheck::Strategy::PageMatch.find_versions(page_url, regex)
+          PageMatch.find_versions(page_url, regex)
         end
       end
     end
diff --git a/Library/Homebrew/livecheck/strategy/page_match.rb b/Library/Homebrew/livecheck/strategy/page_match.rb
index ac910a7ff8..0d611936f7 100644
--- a/Library/Homebrew/livecheck/strategy/page_match.rb
+++ b/Library/Homebrew/livecheck/strategy/page_match.rb
@@ -71,12 +71,29 @@ module Homebrew
 
         # Checks the content at the URL for new versions, using the provided
         # regex for matching.
-        sig { params(url: String, regex: T.nilable(Regexp)).returns(T::Hash[Symbol, T.untyped]) }
-        def self.find_versions(url, regex, &block)
+        #
+        # @param url [String] the URL of the content to check
+        # @param regex [Regexp] a regex used for matching versions in content
+        # @param provided_content [String] page content to use in place of
+        #   fetching via Strategy#page_content
+        # @return [Hash]
+        sig do
+          params(
+            url:              String,
+            regex:            T.nilable(Regexp),
+            provided_content: T.nilable(String),
+            block:            T.nilable(T.proc.params(arg0: String).returns(T.any(T::Array[String], String))),
+          ).returns(T::Hash[Symbol, T.untyped])
+        end
+        def self.find_versions(url, regex, provided_content = nil, &block)
           match_data = { matches: {}, regex: regex, url: url }
 
-          match_data.merge!(Strategy.page_content(url))
-          content = match_data.delete(:content)
+          content = if provided_content.present?
+            provided_content
+          else
+            match_data.merge!(Strategy.page_content(url))
+            match_data.delete(:content)
+          end
           return match_data if content.blank?
 
           page_matches(content, regex, &block).each do |match_text|
diff --git a/Library/Homebrew/livecheck/strategy/pypi.rb b/Library/Homebrew/livecheck/strategy/pypi.rb
index 5f3287ea61..8f3f69a61a 100644
--- a/Library/Homebrew/livecheck/strategy/pypi.rb
+++ b/Library/Homebrew/livecheck/strategy/pypi.rb
@@ -55,7 +55,7 @@ module Homebrew
             %r{href=.*?/packages.*?/#{Regexp.escape(package_name)}[._-]
                v?(\d+(?:\.\d+)*(.post\d+)?)#{Regexp.escape(suffix)}}ix
 
-          Homebrew::Livecheck::Strategy::PageMatch.find_versions(page_url, regex)
+          PageMatch.find_versions(page_url, regex)
         end
       end
     end
diff --git a/Library/Homebrew/livecheck/strategy/sourceforge.rb b/Library/Homebrew/livecheck/strategy/sourceforge.rb
index f8e39620ef..1e6e9c0f2a 100644
--- a/Library/Homebrew/livecheck/strategy/sourceforge.rb
+++ b/Library/Homebrew/livecheck/strategy/sourceforge.rb
@@ -66,7 +66,7 @@ module Homebrew
           # create something that works for most URLs.
           regex ||= %r{url=.*?/#{Regexp.escape(project_name)}/files/.*?[-_/](\d+(?:[-.]\d+)+)[-_/%.]}i
 
-          Homebrew::Livecheck::Strategy::PageMatch.find_versions(page_url, regex)
+          PageMatch.find_versions(page_url, regex)
         end
       end
     end
diff --git a/Library/Homebrew/livecheck/strategy/xorg.rb b/Library/Homebrew/livecheck/strategy/xorg.rb
index 18417207b0..19b0655009 100644
--- a/Library/Homebrew/livecheck/strategy/xorg.rb
+++ b/Library/Homebrew/livecheck/strategy/xorg.rb
@@ -1,8 +1,6 @@
 # typed: false
 # frozen_string_literal: true
 
-require "open-uri"
-
 module Homebrew
   module Livecheck
     module Strategy
@@ -74,7 +72,6 @@ module Homebrew
         # @return [Hash]
         def self.find_versions(url, regex)
           file_name = File.basename(url)
-
           /^(?<module_name>.+)-\d+/i =~ file_name
 
           # /pub/ URLs redirect to the same URL with /archive/, so we replace
@@ -82,17 +79,15 @@ module Homebrew
           # the URL gives us the relevant directory listing page.
           page_url = url.sub("x.org/pub/", "x.org/archive/").delete_suffix(file_name)
 
+          # Example regex: /href=.*?example[._-]v?(\d+(?:\.\d+)+)\.t/i
           regex ||= /href=.*?#{Regexp.escape(module_name)}[._-]v?(\d+(?:\.\d+)+)\.t/i
 
-          match_data = { matches: {}, regex: regex, url: page_url }
+          # Use the cached page content to avoid duplicate fetches
+          cached_content = @page_data[page_url]
+          match_data = PageMatch.find_versions(page_url, regex, cached_content)
 
-          # Cache responses to avoid unnecessary duplicate fetches
-          @page_data[page_url] = URI.parse(page_url).open.read unless @page_data.key?(page_url)
-
-          matches = @page_data[page_url].scan(regex)
-          matches.map(&:first).uniq.each do |match|
-            match_data[:matches][match] = Version.new(match)
-          end
+          # Cache any new page content
+          @page_data[page_url] = match_data[:content] if match_data[:content].present?
 
           match_data
         end
diff --git a/Library/Homebrew/test/livecheck/strategy/page_match_spec.rb b/Library/Homebrew/test/livecheck/strategy/page_match_spec.rb
index 4f853fee17..4c364f1d8a 100644
--- a/Library/Homebrew/test/livecheck/strategy/page_match_spec.rb
+++ b/Library/Homebrew/test/livecheck/strategy/page_match_spec.rb
@@ -34,7 +34,24 @@ describe Homebrew::Livecheck::Strategy::PageMatch do
       </html>
     EOS
   }
+
   let(:page_content_matches) { ["2.6.0", "2.5.0", "2.4.0", "2.3.0", "2.2.0", "2.1.0", "2.0.0", "1.9.0"] }
+  let(:find_versions_return_hash) {
+    {
+      matches: {
+        "2.6.0" => Version.new("2.6.0"),
+        "2.5.0" => Version.new("2.5.0"),
+        "2.4.0" => Version.new("2.4.0"),
+        "2.3.0" => Version.new("2.3.0"),
+        "2.2.0" => Version.new("2.2.0"),
+        "2.1.0" => Version.new("2.1.0"),
+        "2.0.0" => Version.new("2.0.0"),
+        "1.9.0" => Version.new("1.9.0"),
+      },
+      regex:   regex,
+      url:     url,
+    }
+  }
 
   describe "::match?" do
     it "returns true for any URL" do
@@ -52,4 +69,10 @@ describe Homebrew::Livecheck::Strategy::PageMatch do
         .to eq(page_content_matches)
     end
   end
+
+  describe "::find_versions?" do
+    it "finds versions in provided_content" do
+      expect(page_match.find_versions(url, regex, page_content)).to eq(find_versions_return_hash)
+    end
+  end
 end