When you focus on "people" you get emotionally driven policies without any planning for long term consequences. See: Prop 13. If you want to do what's best for the people, as a population, long term, you need to do what's best for the economy. That means you need to view them as numbers.
It is quite obvious if you take a look at any online crypto/stock trading forum that a lot of those extra stimulus checks are not going towards anything useful. We know from basic economics which you seem to think is invalid that increasing the money supply (through deficit spending on stimulus checks) and money velocity (by giving it to consumers directly instead of through e.g. increasing the supply of credit) increases inflation. We're also seeing record demand for consumer goods like PS5s, electronics, etc. Those happen to be the same products that consumers with excess money buy. Not food, because they can already afford food without the stimulus checks.