That is an excellent question.
I wouldn't be surprised if the range in AVAudioPlayer more closely matches that of the "standard leveling scale" for popular music.

Notice here that 0dB is pretty far up linearly in the range. This is based on the history of the VU meter as described in Level Practices (Part 2) and seen in this picture:

So, I don't know for sure, but my guess would be that AVAudioPlayer more closely matches these ranges. You could always plug headphone jack of our iOS device into an application like Audacity, Logic, or Pro Tools and actually measure the signal coming out of your app as you sweep through the volume range in AVAudioPlayer.