[TulliusCicero]

Well no, giving the same money to everyone should essentially compress the income spectrum, if the money is largely funded by progressive income taxes (as is usually assumed).

Richer people would end up worse off since the UBI would be less than the extra they'd pay in income taxes, but poorer people would end up better off.

Though I agree with someone elsewhere pointing out the issue with housing demand. As long as supply is rather severely constrained, a lot of the money may simply flow to landlords.