Isn't the difference that with UBI you still need to work for money to have a reasonable life filled with joy and peace of mind. Contrast with UHI where, presumably, the income is so high that you do not have to work but can still enjoy the "luxuries" of joy and peace of mind?
In Capitalism $$ is power. You want to restraint power? You limit $$ a single person/entity can hold and then make their activities transparent.
I firmly believe that "limiting $$" will reduce innovation is completely BS. It's the reverse.
I can think of a lot of shady investments people wouldn't dare make if total transparency was required.
Or maybe you should be allowed to benefit from but not really control it. So above $100mil you have to put it in a blind trust or something.
Maybe it still strikes the right balance while being more palatable to implement than a real wealth cap.