Obviously, free games don't give you authorization error....However, the apps that you earlier had pirated contain a different apple id and this will cause the authorization error in iTunes which won't let you sync and if it won't let you sync you can't download the app to your phone with iTunes but only stare at the iPA, and again the only way to get the game you want is by using iTunes to download the iPA and then install it with iFunbox ( you do this if it's not in AppCake or any other app ). You can't crack a directly downloaded app from Appstore, and besides I have no idea why you just went back to the iTunes subject if I was talking about what to do if the game you're looking for isn't in AppCake or anywhere else.
Are you getting somewhere with this no offense?
You seemed like a nice guy until you started this war of who's right even though we both know how iPA's work & cracking them...
You do seem very knowledgeable and I don't doubt it... but we literally fought over the exact same information.
Game from Appstore= Crack failure
Game not in Appcake = use iTunes (method 1)
iTunes (authori error...) = iFunBox + iPA from iTunes (method 2)
Are we clear?
Cheers,
Galmin