I think that since we have two different situations here, that there may also be two different most effective workarounds. Utilizing a second browser (Firefox) does indeed force the log out of the first so that I have successful access to another account. When I return to my original browser (Chrome) my only log in option remains the account that I was logged into at the time the bug presented itself.
EDIT: Doesn't necessarily force a log out (Being a different browser), just doesn't show you as logged in.