diff --git a/Library/Homebrew/cmd/readall.rb b/Library/Homebrew/cmd/readall.rb
index e20db93e36..530c41e3ee 100644
--- a/Library/Homebrew/cmd/readall.rb
+++ b/Library/Homebrew/cmd/readall.rb
@@ -57,7 +57,7 @@ module Homebrew
           raise UsageError, "`brew readall` needs a tap or `--eval-all` passed or `HOMEBREW_EVAL_ALL` set!"
         end
 
-        Tap.select(&:installed?)
+        Tap.installed
       else
         args.named.to_installed_taps
       end
diff --git a/Library/Homebrew/cmd/tap.rb b/Library/Homebrew/cmd/tap.rb
index f3f751ead3..1275b1a188 100644
--- a/Library/Homebrew/cmd/tap.rb
+++ b/Library/Homebrew/cmd/tap.rb
@@ -55,12 +55,12 @@ module Homebrew
     args = tap_args.parse
 
     if args.repair?
-      Tap.select(&:installed?).each do |tap|
+      Tap.installed.each do |tap|
         tap.link_completions_and_manpages
         tap.fix_remote_configuration
       end
     elsif args.no_named?
-      puts Tap.select(&:installed?)
+      puts Tap.installed.sort_by(&:name)
     else
       tap = Tap.fetch(args.named.first)
       begin
diff --git a/Library/Homebrew/cmd/update-report.rb b/Library/Homebrew/cmd/update-report.rb
index ad2bf864ab..0c455f3e4b 100644
--- a/Library/Homebrew/cmd/update-report.rb
+++ b/Library/Homebrew/cmd/update-report.rb
@@ -146,7 +146,7 @@ module Homebrew
     hub = ReporterHub.new
 
     updated_taps = []
-    Tap.select(&:installed?).each do |tap|
+    Tap.installed.each do |tap|
       next if !tap.git? || tap.git_repo.origin_url.nil?
       next if (tap.core_tap? || tap.core_cask_tap?) && !Homebrew::EnvConfig.no_install_from_api?
 
@@ -254,7 +254,7 @@ module Homebrew
 
     Commands.rebuild_commands_completion_list
     link_completions_manpages_and_docs
-    Tap.select(&:installed?).each(&:link_completions_and_manpages)
+    Tap.installed.each(&:link_completions_and_manpages)
 
     failed_fetch_dirs = ENV["HOMEBREW_MISSING_REMOTE_REF_DIRS"]&.split("\n")
     if failed_fetch_dirs.present?
diff --git a/Library/Homebrew/completions.rb b/Library/Homebrew/completions.rb
index 4e60b8209a..60d50f1555 100644
--- a/Library/Homebrew/completions.rb
+++ b/Library/Homebrew/completions.rb
@@ -72,7 +72,7 @@ module Homebrew
     sig { void }
     def self.link!
       Settings.write :linkcompletions, true
-      Tap.select(&:installed?).each do |tap|
+      Tap.installed.each do |tap|
         Utils::Link.link_completions tap.path, "brew completions link"
       end
     end
@@ -80,7 +80,7 @@ module Homebrew
     sig { void }
     def self.unlink!
       Settings.write :linkcompletions, false
-      Tap.select(&:installed?).each do |tap|
+      Tap.installed.each do |tap|
         next if tap.official?
 
         Utils::Link.unlink_completions tap.path
@@ -94,7 +94,7 @@ module Homebrew
 
     sig { returns(T::Boolean) }
     def self.completions_to_link?
-      Tap.select(&:installed?).each do |tap|
+      Tap.installed.each do |tap|
         next if tap.official?
 
         SHELLS.each do |shell|
diff --git a/Library/Homebrew/dev-cmd/audit.rb b/Library/Homebrew/dev-cmd/audit.rb
index 321b26f1d7..9c065dd43d 100644
--- a/Library/Homebrew/dev-cmd/audit.rb
+++ b/Library/Homebrew/dev-cmd/audit.rb
@@ -189,7 +189,7 @@ module Homebrew
 
     # Run tap audits first
     named_arg_taps = [*audit_formulae, *audit_casks].map(&:tap).uniq if !args.tap && !no_named_args
-    tap_problems = Tap.select(&:installed?).each_with_object({}) do |tap, problems|
+    tap_problems = Tap.installed.each_with_object({}) do |tap, problems|
       next if args.tap && tap != args.tap
       next if named_arg_taps&.exclude?(tap)
 
diff --git a/Library/Homebrew/diagnostic.rb b/Library/Homebrew/diagnostic.rb
index aea24c3b95..652f517bdf 100644
--- a/Library/Homebrew/diagnostic.rb
+++ b/Library/Homebrew/diagnostic.rb
@@ -545,7 +545,7 @@ module Homebrew
         return if ENV["CI"]
         return unless Utils::Git.available?
 
-        commands = Tap.select(&:installed?).filter_map do |tap|
+        commands = Tap.installed.filter_map do |tap|
           next if tap.git_repo.default_origin_branch?
 
           "git -C $(brew --repo #{tap.name}) checkout #{tap.git_repo.origin_branch_name}"
@@ -794,7 +794,7 @@ module Homebrew
 
       def check_for_tap_ruby_files_locations
         bad_tap_files = {}
-        Tap.select(&:installed?).each do |tap|
+        Tap.installed.each do |tap|
           unused_formula_dirs = tap.potential_formula_dirs - [tap.formula_dir]
           unused_formula_dirs.each do |dir|
             next unless dir.exist?