If a chapter knows that a girl is only preffing their house, wouldn't it be in their best interest to drop her to the bottom of the bid list? She's guaranteed a spot, probably as a QA, so why have her take a spot on the 1st bid list if she'll end up a NM either way?

I guess the trick is in finding out and having enough time to act on it. Usually "what other parties are you going to" is seen as a bad question to ask. But if a chapter decided to ask or otherwise found out, I guess they could ignore any GLO policies they were supposed to follow for bid list placement to do it.

And if the school PC is willing to place her with this group no matter what, it shouldn't make a difference. Moving her down does move someone else up for regular bid matching, but if the group was eligible for QAs, it seems unlikely to me that one particular girl was going to be the only one they had a shot at.

(I think this guaranteed bid only go to girls who maximized options throughout the process, so there's no way (that i can think of) that groups and girls could game the system in advance unless other groups were willing to drop or invite people to help them which seems really unlikely.)