In other words, the real estate market is sticky. There are large costs to moving, so consumers put up with price increases more readily than they do in other markets.
But there's a big gulf between "sticky" and "laws of supply and demand don't apply".
People on UBI will be much more price sensitive than those supplementing with wage income since the UBI dependent will be time rich and money poor. Landlords will have less power over them. They'll still have some power because of the stickiness.