[throwaway2245]

Requiring "means testing", i.e. excluding people who are not in need, is often shown to cost more money than it saves.

(and allows some people who don't technically qualify to fall through the gaps)

If you receive an extra $10,000 that you say you don't need, you could receive it and be in a tax band which gets taxed an extra $10,000. That's more straightforward.