One could also imagine a standardized ismn://<number> URL format that could open in your preferred music app, and this could work even without a streaming service if you already own that song in your personal music collection.

ISMN seems to exist: https://www.loc.gov/ismn/about.html

But, I've never actually seen it used for recordings; it seems to be focused solely on music notation. So, it would be nice to have some kind of recording-focused identifier for keeping track of specific performances between services.