Currently, we have no blocks in place which prevent multiple logins from different machines. So feel free to stay logged in if you like. (However, see end of this post.)
When I'm using my Password Protector App, I sometimes get login failures on Nikongear
because I need to refresh cache for the automated fill-ins to work.
Today I've been using direct login with the upper right corner boxes - several times - and cannot produce any failures on Firefox.
There have not been any recent database errors. Last one was back in June.
There are ALWAYS a lot of login screw-ups because of typos in either user name or password.
Done it myself a few times.
My usual practice to prevent overload of cookies-which-spy, junk pile-up and overloaded temp files, is to shut down all apps at the end of the day and then run something like CCleaner to clear out everything.
Good practice because it keeps your machine cleaner and apps run faster.
CCleaner runs only on Mac I think. But there are gazillions of good junk and cache cleaners "out there".
If you don't clean up daily, at least consider cleaning up once a week.