diff --git a/Library/Homebrew/cmd/install.rb b/Library/Homebrew/cmd/install.rb
index af41382d3c..cda32afd64 100644
--- a/Library/Homebrew/cmd/install.rb
+++ b/Library/Homebrew/cmd/install.rb
@@ -219,7 +219,7 @@ module Homebrew
         end
         opoo msg if msg
       elsif !f.any_version_installed? && old_formula = f.old_installed_formulae.first
-        installed_version = old_formula.opt_or_installed_prefix_keg.version
+        installed_version = old_formula.any_installed_keg.version
         msg = "#{old_formula.full_name} #{installed_version} already installed"
         if !old_formula.linked? && !old_formula.keg_only?
           msg = <<~EOS
diff --git a/Library/Homebrew/compat/formula.rb b/Library/Homebrew/compat/formula.rb
index c41f9236e2..2759d9a7f9 100644
--- a/Library/Homebrew/compat/formula.rb
+++ b/Library/Homebrew/compat/formula.rb
@@ -32,6 +32,12 @@ class Formula
       # odeprecated "Formula#installed_version"
       Keg.new(latest_installed_prefix).version
     end
+
+    def opt_or_installed_prefix_keg
+      # TODO: deprecate for Homebrew 2.5
+      # odeprecated "Formula#opt_or_installed_prefix_keg", "Formula#any_installed_keg"
+      any_installed_keg
+    end
   end
 
   prepend Compat
diff --git a/Library/Homebrew/dev-cmd/linkage.rb b/Library/Homebrew/dev-cmd/linkage.rb
index a95234a57c..e090e413bd 100644
--- a/Library/Homebrew/dev-cmd/linkage.rb
+++ b/Library/Homebrew/dev-cmd/linkage.rb
@@ -32,7 +32,7 @@ module Homebrew
 
     CacheStoreDatabase.use(:linkage) do |db|
       kegs = if args.named.to_kegs.empty?
-        Formula.installed.map(&:opt_or_installed_prefix_keg).reject(&:nil?)
+        Formula.installed.map(&:any_installed_keg).reject(&:nil?)
       else
         args.named.to_kegs
       end
diff --git a/Library/Homebrew/dev-cmd/pr-pull.rb b/Library/Homebrew/dev-cmd/pr-pull.rb
index be6586ae77..0e46ebbbc3 100644
--- a/Library/Homebrew/dev-cmd/pr-pull.rb
+++ b/Library/Homebrew/dev-cmd/pr-pull.rb
@@ -73,7 +73,7 @@ module Homebrew
     else
       if gnupg.any_version_installed?
         path = PATH.new(ENV.fetch("PATH"))
-        path.prepend(gnupg.opt_or_installed_prefix_keg/"bin")
+        path.prepend(gnupg.any_installed_prefix/"bin")
         ENV["PATH"] = path
       end
     end
diff --git a/Library/Homebrew/dev-cmd/pull.rb b/Library/Homebrew/dev-cmd/pull.rb
index 9ca64a27ce..687db6b86b 100644
--- a/Library/Homebrew/dev-cmd/pull.rb
+++ b/Library/Homebrew/dev-cmd/pull.rb
@@ -60,7 +60,7 @@ module Homebrew
       else
         if gnupg.any_version_installed?
           path = PATH.new(ENV.fetch("PATH"))
-          path.prepend(gnupg.opt_or_installed_prefix_keg/"bin")
+          path.prepend(gnupg.any_installed_prefix/"bin")
           ENV["PATH"] = path
         end
       end
diff --git a/Library/Homebrew/formula.rb b/Library/Homebrew/formula.rb
index cfdaaaa579..10ea1bcc78 100644
--- a/Library/Homebrew/formula.rb
+++ b/Library/Homebrew/formula.rb
@@ -1610,12 +1610,18 @@ class Formula
   # Returns a Keg for the opt_prefix or installed_prefix if they exist.
   # If not, return nil.
   # @private
-  def opt_or_installed_prefix_keg
-    Formula.cache[:opt_or_installed_prefix_keg] ||= {}
-    Formula.cache[:opt_or_installed_prefix_keg][full_name] ||= if optlinked? && opt_prefix.exist?
-      Keg.new(opt_prefix)
+  def any_installed_keg
+    Formula.cache[:any_installed_keg] ||= {}
+    Formula.cache[:any_installed_keg][full_name] ||= if (installed_prefix = any_installed_prefix)
+      Keg.new(installed_prefix)
+    end
+  end
+
+  def any_installed_prefix
+    if optlinked? && opt_prefix.exist?
+      opt_prefix
     elsif (latest_installed_prefix = installed_prefixes.last)
-      Keg.new(latest_installed_prefix)
+      latest_installed_prefix
     end
   end
 
@@ -1623,7 +1629,7 @@ class Formula
   # @private
   def runtime_dependencies(read_from_tab: true, undeclared: true)
     deps = if read_from_tab && undeclared &&
-              (tab_deps = opt_or_installed_prefix_keg&.runtime_dependencies)
+              (tab_deps = any_installed_keg&.runtime_dependencies)
       tab_deps.map do |d|
         full_name = d["full_name"]
         next unless full_name
@@ -1658,12 +1664,12 @@ class Formula
   end
 
   def runtime_installed_formula_dependents
-    # `opt_or_installed_prefix_keg` and `runtime_dependencies` `select`s ensure
+    # `any_installed_keg` and `runtime_dependencies` `select`s ensure
     # that we don't end up with something `Formula#runtime_dependencies` can't
     # read from a `Tab`.
     Formula.cache[:runtime_installed_formula_dependents] = {}
     Formula.cache[:runtime_installed_formula_dependents][full_name] ||= Formula.installed
-                                                                               .select(&:opt_or_installed_prefix_keg)
+                                                                               .select(&:any_installed_keg)
                                                                                .select(&:runtime_dependencies)
                                                                                .select do |f|
       f.runtime_formula_dependencies.any? do |dep|
@@ -1903,7 +1909,7 @@ class Formula
   # but the formula links to.
   # @private
   def undeclared_runtime_dependencies
-    keg = opt_or_installed_prefix_keg
+    keg = any_installed_keg
     return [] unless keg
 
     CacheStoreDatabase.use(:linkage) do |db|
diff --git a/Library/Homebrew/language/java.rb b/Library/Homebrew/language/java.rb
index db9be69a22..b8293e0474 100644
--- a/Library/Homebrew/language/java.rb
+++ b/Library/Homebrew/language/java.rb
@@ -14,7 +14,7 @@ module Language
         next false unless f.any_version_installed?
 
         unless version.zero?
-          major = f.opt_or_installed_prefix_keg.version.major
+          major = f.any_installed_keg.version.major
           next false if major < version
           next false if major > version && !can_be_newer
         end
diff --git a/Library/Homebrew/livecheck/livecheck.rb b/Library/Homebrew/livecheck/livecheck.rb
index 0ebeaaad7d..92d9b22ed7 100644
--- a/Library/Homebrew/livecheck/livecheck.rb
+++ b/Library/Homebrew/livecheck/livecheck.rb
@@ -81,7 +81,7 @@ module Homebrew
         formula.head.downloader.shutup! if formula.head?
 
         current = if formula.head?
-          formula.opt_or_installed_prefix_keg.version.version.commit
+          formula.any_installed_keg.version.version.commit
         else
           formula.version
         end
diff --git a/Library/Homebrew/test/cmd/link_spec.rb b/Library/Homebrew/test/cmd/link_spec.rb
index f76b5a1d89..67748ae138 100644
--- a/Library/Homebrew/test/cmd/link_spec.rb
+++ b/Library/Homebrew/test/cmd/link_spec.rb
@@ -9,7 +9,7 @@ end
 describe "brew link", :integration_test do
   it "links a given Formula" do
     install_test_formula "testball"
-    Formula["testball"].opt_or_installed_prefix_keg.unlink
+    Formula["testball"].any_installed_keg.unlink
 
     expect { brew "link", "testball" }
       .to output(/Linking/).to_stdout
diff --git a/Library/Homebrew/upgrade.rb b/Library/Homebrew/upgrade.rb
index ee7827a884..a64cabf5ac 100644
--- a/Library/Homebrew/upgrade.rb
+++ b/Library/Homebrew/upgrade.rb
@@ -125,7 +125,7 @@ module Homebrew
         installed_formulae.flat_map(&:runtime_installed_formula_dependents)
                           .uniq
                           .select do |f|
-          keg = f.opt_or_installed_prefix_keg
+          keg = f.any_installed_keg
           next unless keg
 
           LinkageChecker.new(keg, cache_db: db)
@@ -245,7 +245,7 @@ module Homebrew
     end
 
     def depends_on(a, b)
-      if a.opt_or_installed_prefix_keg
+      if a.any_installed_keg
          &.runtime_dependencies
          &.any? { |d| d["full_name"] == b.full_name }
         1