Earlier quoted context omitted.
I don't know how you can come to the conclusion that this is an arbitrary decision by Apple, or that Apple is lying about something in the matter. It seems clear to me that even though Apple keeps using the term "approved API" what they mean is "the AirPlay encryption key that you don't have a license for". It's an odd use (or misuse) of terminology but it doesn't change the facts.
It's more than terminology. "We have an Airplay licensing program explicitly to assist companies in creating AirPlay capable products. Apple never said that we would pull the rug out from anyone, we in fact worked with this developer to ensure they update their app and remain on the App Store" The clear implication there is that Apple had procedures available for getting this to work and RA just ignored them. RA's re…
In the end it's Apple's store with Apple's rules. The rules have changed without warning in the past and will likely do so countless times in the future. The tradeoff for this is what is likely one of the most lucrative app stores to date for developers.