It seems to me that RealPage simply helps landlords assess the market price for apartments. Sort of like how "Redfin Estimate" and Zillow's "Zestimate" help homeowners assess the market value of their house. The reason houses and apartments are expensive is because the market rate is so high.
My test for whether RealPage is anticompetitive would be: does RealPage induce multiple landlords to withhold apartments from the market in order to intentionally restrict supply and drive up rents? (Or, does RealPage just clue them in to how high the market rents are?)