Downgrading to 22.214.171.1243 as other said here fixed the issue for me too! What I' suprised is that this version with no issue with the downloaded song menu has the new interface, so it should be an easy fix for spotify team!
For me, it is a dangerous problem and must be fixed to prevent accidents. When I am driving and I press the back or next buttons on the wheel and the app does not respond, I tend to check the phone to actually change the song. I know I am not doing the right thing but I suspect I am not the only one.