That is not the case.
If under UBI, which is reallocation of capital, luxury housing frees up it will not mean the uber rich move away and now the rest of us enjoy more selection without any other repercussions (though that will happen at first to an extent), it will mean they'll relocate to less expensive properties, thus chocking the market from both sides.
You can see the same effect when luxury housing goes up in a town. Rents go down for everyone.