System: Denon 900HNE; 2 of Polk Polk Signature Elite ES50 Tower speakers. Apple iPhone and Apple Music: standard to Lossless, and lossless Hi-Res Component In Question: DAC

Would anyone with average hearing actually hear the difference between standard AAC compression of Apple Music that I currently play through my system versus using a DAC between my iPhone and system streaming Lossless or Lossless Hi-Res?

Bonus question - is there any difference in quality between using Bluetooth and AppleAir to stream to my system?