diff --git a/Library/Homebrew/livecheck/strategy.rb b/Library/Homebrew/livecheck/strategy.rb
index 72df2f4934..d269cefdd9 100644
--- a/Library/Homebrew/livecheck/strategy.rb
+++ b/Library/Homebrew/livecheck/strategy.rb
@@ -182,16 +182,15 @@ module Homebrew
         headers = []
 
         [:default, :browser].each do |user_agent|
-          output, _, status = curl_headers(
+          parsed_output = curl_headers(
             url,
             wanted_headers:    ["location", "content-disposition"],
             use_homebrew_curl: homebrew_curl,
             user_agent:        user_agent,
             **DEFAULT_CURL_OPTIONS,
           )
-          next unless status.success?
+          next if parsed_output.blank?
 
-          parsed_output = parse_curl_output(output, max_iterations: MAX_PARSE_ITERATIONS)
           parsed_output[:responses].each { |response| headers << response[:headers] }
           break if headers.present?
         end
diff --git a/Library/Homebrew/utils/curl.rb b/Library/Homebrew/utils/curl.rb
index 4b2d3b227f..963f4e650c 100644
--- a/Library/Homebrew/utils/curl.rb
+++ b/Library/Homebrew/utils/curl.rb
@@ -213,18 +213,18 @@ module Utils
         )
 
         # 22 means a non-successful HTTP status code, not a `curl` error, so we still got some headers.
-        if result.success? || result.exit_status == 22
-          parsed_output = parse_curl_output(result.stdout)
+        next if !result.success? && result.exit_status != 22
 
-          # If we didn't get any wanted header yet, retry using `GET`.
-          next if request_args.empty? && wanted_headers.any? &&
-                  parsed_output.fetch(:responses).none? { |r| (r.fetch(:headers).keys & wanted_headers).any? }
+        parsed_output = parse_curl_output(result.stdout)
 
-          return parsed_output if result.success?
-        end
+        # If we didn't get any wanted header yet, retry using `GET`.
+        next if request_args.empty? && wanted_headers.any? &&
+                parsed_output.fetch(:responses).none? { |r| (r.fetch(:headers).keys & wanted_headers).any? }
 
-        result.assert_success!
+        return parsed_output if result.success?
       end
+
+      nil
     end
 
     # Check if a URL is protected by CloudFlare (e.g. badlion.net and jaxx.io).