Very interesting Amir, thank you!
Do you have an Apple device to compare AAC from Apple to Android? I think soundguys did such comparison and concluded to use AAC on Apple devices (ok, it also is the only supported codec) and SBC on Android: Soundguys BT Codec comparison
I would welcome a test of various receivers in AAC with the same AAC transmitter (presumably preferably an iDevice as AAC is supposed to be decently handled with them according to Soundguys' article). We already have some evidence that the encoding device's implementation of AAC varies quite a lot, but what about the decoding device ?