How long do they last at room temp? Does sliced vs unsliced make a difference?
I would keep Them unpeeled. And after 12 hours don't eat them
Just a couple of hours according to FDA and USDA. Given that short period, slice v. unsliced shouldn't matter too much. (Raw eggs can last a lot longer than hard-boiled ones.)
Although NOBODY would recommend this, 50 or so years ago we would have hard boiled Easter eggs in a bowl at room temp for a week. Nobody ever got sick.