If there is, in a market (of whatever scale, and whether it's housing rental or anything else), a monopoly or coordinated oligopoly that is abused so as to absorb all income growth, that's a problem calling for government intervention independent of UBI.

Maybe these exist in some housing markets, but if they do it's an orthogonal problem to UBI that is just as important to correct even if we don't adopt UBI. It's not, in any way, an argument against UBI.