It's a fair point that UBI would result in some shift in market dynamic. But ultimately, most people will still want to get a job to supplement the UBI income, and high demand areas will remain high demand.
Anyways, it'd still be better than quantitative easing, the current approach to keeping the economy running now that they can't lower reserve ratios or interest rates anymore, wherein (roughly) the government prints money to shove into the stock market so people who are already rich keep getting richer.
Traditionally, humans have to live where they can find a flow of capital via the jobs available. If every human has a baseline flow of capital attached to them specifically, regardless of where they live, it potentially opens up a ton of possibility in where people can live, because they can do less well paying jobs but still live a good life.
The reasons for this are complex, but in short it is likely due to a mixture of cost of living (disability benefits go farther in LOC areas), economic opportunity (disability is "more attractive" when job opportunities are scare), and demographics (older, more blue collar, etc...). But regardless of how or why these discrepancies exist, we have essentially created a system which incentives our population to self-sort geographically based on their ability to contribute economically. That is of course problematic in and of itself, but this also means we have a real life pseudo "UBI experiment" that we can evaluate. And if you look at the data, nearly all of the states with high disability percentages are low cost of living states, particularly when it comes to housing prices.
So anyone who complains about how UBI would increase housing costs needs to first account for the fact that large swaths of the working age population are already receiving benefits similar in level to a UBI (disability is about $1600/mo). And despite the higher concentration of beneficiaries in areas like WV, we haven't seen much of any impact in real estate or local inflation. If anything we have seen the opposite.
[1] https://www.mathematica.org/dataviz/state-disability-maps