iTunes/Apple Music has an option to uncheck songs you never want played. Nice to click on albums you hate (but don’t want to delete), silent tracks, or anything you don’t want played without directly selecting the track.
There’s already an existing suggestion discussing to have such an option. Please comment/vote in that thread in order to help us avoid distracting or cannibalizing votes.
Unless I’m missing some unique aspect of your suggestion I’ll close this thread as a duplicate.