Yes you can go back to 12.4 but your battery is likely shot, so even if you go back you might encounter the same problem soon. Is it the original battery and several years old? If so, it's more than likely it needs to be replaced. Try running the battery down to say 10%, and then see how your battery does.
In my experience for a very old battery it's fairly common for battery health to read OK at room temp when near full, but cool it down after running it down to a low amount, and it goes haywire if it's in equivocal condition.
BTW, I replaced my battery for my 7 Plus last year under the battery replacement program. It's in great condition and battery life on 13.1 is decent. However, the battery is only 9 months old.