You're kidding, right? YT Music is like a 20 songs playlist. It's not worth anybody's time even if it's free.
I've had same experience as parent, Apple/Spotify/YT Music are interchangeable but for a few exceptions in who got a license to what, in which case YouTube wins because of bootleg uploads (Mos Def's Ecstatic comes to mind, ain't nobody got a license to stream that, but there it is on Youtube)
I've found most of the music I listen to through youtube. So it's not suprising.
But I'd wager that almost every song on spotify is uploaded to youtube as a video. Then it should be available on yt music unless they have flagged massive amounts of videos as not musical.