Lol!
In the actual story they might not. Part of the ‘protective’ enchantment over the place is everyone can sense certain details about the others, so they automatically know which Sam is their Sam or that this Dean is actually Dean.
(That way none of the Deans tries shooting up the place when he finds it full of ten other hims)
But it would be pretty funny to find themselves beset by a bunch of guys wondering how the hell, when the truth is they just never encountered Celeste or stayed at that motel!