Hi,
For me all works fin. yet i did have had my problems ... Music did not show all art (nothing actually)
Yet it did show all after 2 days ... perhaps due to my huge collection.
Nevertheless the way you sync your devices also changes towards Finder etc.
So you may need to understand that Catalina will change everything, also the way Music looks, and Video are Moved to Apple TV and so on.
So when you are ready for these changes please proceed.
Yet when seeing that you mentioned crashes
i would not go that way, as mine never crashed , so i wonder why yours did ?
So please check why yours did crash? was it the First release ? or perhaps not enough Memory ?
I have version 10.15.3 of Catalina on a 64 bit system with 32GB Ram and do not have any lag or latency in the Music app.
Hope it works out for you, keep in mind all the changes under the hood.
OR if you are not sure , Make an external start up Disk with Catalina and you can switch back to your version anytime.
Kind Regards
Ital