As a counterexample, what about people who need more than a basic income? In Spain, chronic patients with expensive treatments are still subsidized. The Social Security system is based in solidarity: a few need a lot of money, while many don't need much at all, and it balances out (well, it doesn't, but that's another matter).

I'm fine with this. Maybe I'm in the paying end of the deal, but since I believe health is a matter of luck, I'd like to be able to be in the receiving end (and not be left to die) in case I have bad luck.

Of course this could be an exception, but I'm sure there are a lot more exceptions not taken into consideration in the basic income discussion. IMHO, basic income doesn't solve the problem and introduces new ones.