In consumption-based positional goods, rents will always go up by whatever the basic income is. Because people are entering a zero-sum rat race for status. That

In consumption-based positional goods, rents will always go up by whatever the basic income is. Because people are entering a zero-sum rat race for status. That's irrelevant to whether it's doled out as BI or as housing voucher. But in normal markets, people will still try to supply the good at the lowest cost and consumers will still try to gain it at the lowest price, and the market will find some midpoint. Moreover, if you can't make "universal housing vouchers" work, how are you going to make "universal basic income" work? The former is a much simpler problem.