I'm focused specifically on housing because approximately everybody needs somewhere to live. That ought to raise purchase prices and rent prices. In effect, it would mean anyone who bought before UBI raised the price would be subsidized by those who buy or rent afterward.

It seems like roughly the same economics as rent control: if I, as a landlord, own rent controlled units, then I want to make as much money off them as if they were not rent controlled. Unless I can get them reclassified, the only way to do so is to raise the monthly price so that over the course of an average tenancy, the numbers add up to what I could have rented the unit for without rent control. What you end up with is effectively a Ponzi scheme.