Ok I tested from the music app on iPad to my Gen 2 HomePods. It’s a very bad old recording. Did you try other versions? It was equally balanced but it just sounds really bad. I restarted my Homepods and closed the music app to try it again but it just sounds so awful! It’s not a song I ever owned on a cd and I only ever listened to it from the radio on Bose speakers which were a lot better than this, so I can feel your disappointment in the track. Except these are not Bose! The fact is some older songs don’t sound as good. Some sound great, this just isn’t one of them. R&B sounds good.
Ive not tried through Apple tv. Which way were you playing it?
I would suggest some restarts on the device you’re using, HomePods and try other versions of this song and other songs. Try other surfaces to recalibrate- choose a solid surface like wood.
here is a song that demonstrates better sound:

And here is an old one that demonstrates the balance of left and right:
