At least with my AirPods or my fancy Master&Dynamic over-ear headphones, there is a pretty big difference in Apple Music vs others, but I don’t think it's necessarily about bitrate. I think Apple just gets higher quality masters of some songs. Same thing as Tidal when I used that, but Apple seems even a step further at this point (which is unfortunate because I really don’t want to rely on a mega-corp for everything).

Especially the ones with the Dolby Atmos (Spatial Audio) mixes. Even if you don’t have super high-res headphones, the difference in dynamic range is pretty obvious, and it makes songs just feel more alive.

I don’t have any stats to back this up but it seems that Apple Music has at least managed to somewhat buck the trend of the “loudness wars” with the masters they use. I wonder if this is actually published or written about anywhere…

You won't get a representative answer here because tech folk can be specific about what and how they listen, so our answers will make it appear like a big deal.

I will venture that most people don't notice or care.

I have AirPods pro and the sony xm4. Even on bluetooth you can hear the difference. The sound stage is just bigger. The highs are more clear and the bass is more subtle.

I was once remaking some hiphop beats from there samples and you can hear the difference even more when you have a remade beat (its not 100% the same) you can hear what the compression has done to the sample.

It made none for me, even with $400 corded headphones.

I recently ditched both Apple Music and Spotify and am using Youtube Music, which comes with Youtube Premium.

People also use Apple Music, Shopify etc on non-mobile devices as well as IEMs on mobile.

And for those lossless is a massive difference.