Apple Music (or possibly iTunes Store) plays wrong songs

Concrete example:

Nine Inch Nails - The Fragile (Left): Plays live versions of "The Frail" and "The Great Below".

Same album (Right): Plays The three first songs from "Left" (aka disc one) instead of the correct songs (interestingly, playing album version of "The Frail", instead of "Where is everybody". Also live versions of "The mark has been made" and "Starf***s inc".

I bought this album on CD, so it probably still works on my old iMac (where I have the "hardcopy" library), but not on new mac or iPhone.

This is really annoying. Apple: fix, please?