If there is no market collusion or abuse of monopoly, than there is absolutely no way it makes economic sense to withhold properties from the market to inflate

If there is no market collusion or abuse of monopoly, than there is absolutely no way it makes economic sense to withhold properties from the market to inflate the market. If you have a minority market share you won't be able to make up for the lost revenue, because the majority of the rent inflation is just going to be recognized by the other parties.