Cloud Library (Apple Music) not syncing properly from Mac to iOS/iPadOS devices

I have an Apple Music subscription and I'm using my cloud music library on all my devices. After upgrading from macOS Big Sur to macOS Monterey 12.1 (and iOS/iPadOS 15.2/15.2.1), my music library is not syncing as it should from Mac to iOS/iPadOS/iCloud.

The following actions are no longer updating my library on iOS/iPadOS/iCloud:

• Deleting an album/playlist on Mac
• Rating songs with stars on Mac

When I sync my library manually on Mac (File > Library > Update Cloud Library), any of the two actions mentioned above are reverted: the albums I deleted are added back to the Music app on my Mac and my previous ratings are not visible anymore.

The actions below work fine:

• Adding music to my library on Mac (gets added on iOS/iPadOS/iCloud as it should)
• Creating a playlist on Mac (gets added on iOS/iPadOS/iCloud as it should)

Any action works correctly on the iOS/iPadOS -> Mac direction: when I do something on my iPhone or iPad it gets synced to my Mac (rating songs, adding/deleting albums, etc.).

This is a recent problem which didn't exist before. I've seen people sharing here Mac/iOS syncing issues, but I'm not sure they cover these specific actions. Anyone experiencing something similar?

Thanks in advance!