diff --git a/Library/.rubocop.yml b/Library/.rubocop.yml
index 66c08e5248..ea8067d398 100644
--- a/Library/.rubocop.yml
+++ b/Library/.rubocop.yml
@@ -406,6 +406,12 @@ Style/OpenStructUse:
     - "Homebrew/cli/args.rb"
     - "Homebrew/cli/args.rbi"
 
+Style/OptionalBooleanParameter:
+  AllowedMethods:
+    # This is an override of a core library method
+    # see https://ruby-doc.org/3.3.4/Object.html#method-i-respond_to-3F
+    - respond_to?
+
 # Rescuing `StandardError` is an understood default.
 Style/RescueStandardError:
   EnforcedStyle: implicit
diff --git a/Library/Homebrew/version.rb b/Library/Homebrew/version.rb
index beb92b2c5b..067acba83f 100644
--- a/Library/Homebrew/version.rb
+++ b/Library/Homebrew/version.rb
@@ -734,7 +734,7 @@ class Version
   def to_json(*options) = version.to_json(*options)
 
   sig { params(method: T.any(Symbol, String), include_all: T::Boolean).returns(T::Boolean) }
-  def respond_to?(method, include_all = false) # rubocop:disable Style/OptionalBooleanParameter (`Object` override)
+  def respond_to?(method, include_all = false)
     return !null? if ["to_str", :to_str].include?(method)
 
     super