I was suffering a problem of Music app on macOS 10.15.3 Catalina. When I click the “Next” button, the app skips to about 10 songs ahead. I searched the issue in Google, Apple Support, Apple Community, but I could not find the solution.
I gave up to solve it and did the maintenance things which I do regularly, such as increasing a free space of Macintosh HD.
Through that work, I found “Reset Music Store cache” button and press it.
On the next day, I checked the “For You” songs as usual, the problem has been fixed!
I’m not sure clearing cache was the solution, but you should try it.