It abbbsolutely does not. Sorry, but I've been seriously considering switching to Spotify just because the desktop Apple Music app (on macOS) might be the worst Mac app I've ever used- certainly the worst piece of Apple software I've ever used. It is shockingly, shamefully bad for what's supposed to be a flagship service of one of the worlds richest companies.
And to be clear, I'm not one of the people on here who's always complaining about various apps. I think Slack is mostly fine. I think Electron apps are generally a positive thing. But the desktop Apple Music app is an abomination. If you don't use an iOS device for the majority of your listening, steer clear of Apple Music.