Middleware stack actually runs routes and not the application.

railties/lib/rails/tasks/middleware.rake

@@ -3,5 +3,5 @@ task :middleware => :environment do
   Rails.configuration.middleware.active.each do |middleware|
     puts "use #{middleware.inspect}"
   end
-  puts "run #{Rails::Application.instance.class.name}"
+  puts "run #{Rails::Application.instance.class.name}.routes"
 end