When you open QL twice in a row with a shortcut, it will keep QL open but it will make your background white. Just exit QL menu and go into it again, make sure you hit the spacebar only once.
As for staylit function, I just tested it out and it said it shuts off after you open QL again.. I can't open QL again after I use it, so yes, battery pull would be the only way to fix it.