This isn’t an Apple Music thing. It’s an app stealing audio focus and them requiring you to manually revert back to what you were listening to previously.
Also that iOS decides to default to Apple Music. Every time I connect my phone to my car for example it defaults to Apple Music. Even though I have used Spotify AND Overcast to play audio lately but almost never Apple Music.
At least I could still buy "A a a a a a very good song" in iTunes Music Store still so it won't alphabetically run Anno Mundi (or for my wife whatever is the lexiographically first track of that U2 record they pushed on everyone)
