This seems like it would only be an effective form of collusion if everyone or almost everyone in the same area used, and therefore fed data into, RealPage. If it's only a small slice of a given city's rentals it seems like it would be much less effective.
Perhaps the real way to fix this is regulation requiring all landlords to publish their rent pricing data in an open and accessible way. I don't know if such data exists or not in the United States, or even here in Finland, but I would be absolutely fascinated to see it.
EDIT: Bloomberg Terminal users, does your magic know-everything machine have this kind of data?