I'm sure the part about Apple punishing you for launching on Android first is rubbish, but the second claim is true - App Store rules are that you can't mention the word 'Android'.

Rule 2.3.1:

"don’t include names, icons, or imagery of other mobile platforms in your app or metadata"

And here is a case where they actually enforced it:

http://bgr.com/2015/05/21/app-store-rejection-android-ios/

OK so one datapoint! But not to the most controversial claim.