I think this does nothing to solve the actual housing problem: people get left out.
the only thing it will solve is it flattens the chances to random for every initial release of housing. Unless ALL house purchases are lotteries, in which case you're going to have some poor shmuck who has the worst luck and NEVER gets a house even though they've been there for every house available.
We need a solution that gives EVERYONE access to the gaming features the houses provide. I think all this would do would be to frustrate MORE people instead of less.
RNG-sus is not kind to some of us and we refuse to bow to him.