This drives me crazy as I don't use Apple Music and I don't want to keep playing handful of songs I bought 15 years ago on iTunes. I've yet to find out how to disable this.
I don't have an iPhone. But at least on OSX I didn't find a clean way to remove Apple Music.
Every time I accidentally tap play on my bluetooth headset it opens Apple Music and asks me accept the ToS, which I happily reject. It's a daily thing for me because it's almost impossible to put my headphones on without triggering a play due to bad button placement.