We would not be increasing everyone's income by the same factor. People with less money would see their income rise by a larger factor than people with more mon

We would not be increasing everyone's income by the same factor. People with less money would see their income rise by a larger factor than people with more money. Thus, for example, if you have $0 pre-BI and $X post-BI, with X > 0, there's no amount of inflation that will cancel out the fact that you've benefited.