Actually Apple Music in iTunes is just a web view that leaks like crazy, to the point of making iTunes slow to a crawl, if you're quickly navigating through artists and albums.
Not much better than Electron IMO. Apple Music in the browser seems like there isn't much hope of a truly native experience now.
I suspect this might be a problem with your installation - if you create a new MacOS user account for testing, does the problem persist? I don't recall Messages every beach-balling for me and I'm not exactly on new hardware.
So if you have problem that goes away with another user, the problem commonly lies in a corrupted preference related to the app, so you start hunting out the .plists for the application and moving them to the desktop before relaunching and seeing if the problem is fixed.
If not, then you start poking about in Application Support for the app.
After 9 years of Apple use, I have successfully made this method work one time (iMessages), and even then, it took a full system reboot after each file move to validate whether or not that had made a difference.
The whole process took the better part of a day. It was long, it was tedious, but at least I got there in the end. There was no paid-support story that would have done this for me, but hey ho, it all worked out. I can't imagine I'll ever have the time to go through that much effort again.
The same cant be said for my iMessage history on my iPhone, which has been lost repeatedly as the only solution was "don't restore from your backup".
The last time I saw support for it still there, the IM stuff would open in a separate, old-looking window from the Messages window. Basically, they kept the old code and just built a new version parallel to it, then eventually took out the old one.
The Podcasts and TV apps are native Catalyst (iPad apps on macOS) apps.
The Music app is still some sort of Frankenstein iTunes thing. The Library section views are native. The Apple Music section is still web. It is still slow compared to Spotify but much better compared to how it is in iTunes.
Not much better than Electron IMO. Apple Music in the browser seems like there isn't much hope of a truly native experience now.