I have this problem too (Sonoma 14.2) and I wonder if this has anything to do with this -
if you try sharing a blank playlist from the Recently Played section, the URL looks like this : https://music.apple.com/in/playlist/pl.59619449a71f44dc99c4dabd6c442d41
whereas if you do the same from ios and web player (both are fine fine) the link turns out to be : https://music.apple.com/in/playlist/the-beatles-essentials/pl.59619449a71f44dc99c4dabd6c442d41
upon closer inspection, if you look at the response for a GET request to the URL without playlist name in the path, it suggests they're forcing client side redirection
> curl -i https://music.apple.com/in/playlist/pl.59619449a71f44dc99c4dabd6c442d41
HTTP/2 301
...
location: https://music.apple.com/in/playlist/the-beatles-essentials/pl.59619449a71f44dc99c4dabd6c442d41
also adding new/creating playlists seems to be bugged on the mac app. If I add any new playlist, it does not show that I've added it to my library although it appears on my playlists list. same behaviour is not there on ios/web app.
also turning off sync library seems to fix the Recently Played issue.