Hi this watch says you can control during activity but it doesn’t say if it’s Apple Music or Amazon music compatible. Even with Bluetooth not all products have access to apples music streaming or are compatible unfortunately.
AFAICT, it just remotes your phone to do the play/stop/next/prev thing. So it doesn’t matter what music app you use.
Steer clear of Motorola and any of their smart watches. They drop support for them so quickly, and leave you out in the cold wondering why you bothered in the first place.