I get where you're coming from with this idea, but this isn't some kind of easy fix to mess around with PF's function.

Maps are casual and somewhat niche. There's so much more going on at the start of a patch cycle and plenty of reasons for people not to do them. People that have done their share might have to be in the mood for it, especially if they're going to PF and dealing with random people running off with a bunch of loot from someone else's run. I would generally prefer to do it with friends I can trust not to be greedy.