I think this more applies to campuses with big houses that are on campus. At Clarion, for example, the houses definitely aren't "equal" but they are all off campus and the school has nothing to do with it. It would follow that Panhel, being a recognized student org at the school, also has nothing to do with it. So there's no way they can say "hey Zetas, let Phi Sig use your house for rush."