A poor or working-class person spends (nearly) all of their money on consumer goods. Give them 10% more money and they try to buy 10% more things.
Restricting money on the wealthy doesn’t reduce demand for GPUs for example, but restricting money on low-middle income people does. That lower demand for consumer goods is how you can slow inflation.
But by redistributing it to lower and middle class, it’s now being spent on consumer goods, increasing demand for the goods, causing inflation.
"Sufficient" is the operative word here. There's a tremendous amount of non-productive rent-seeking, such as literal rents. These are a massive drag on our economy, because they shift investments towards non-productive use. More targeted tax increases to discourage the worst rent-seeking would help a lot, in addition to generating revenue and easing price pressures.
Would they?
From an economic perspective (not a social/fairness one), isn't it well studied that consumption (as percentage of income) is inversely proportional to higher/lower total income?
So raising tax on the well-off would be more akin to raising the prime rate (i.e. decreasing the amount of well-off capital that's reinvested elsewhere) with the added effect of increasing consumption by increasing federal government spending.
Note: I'm not opining on the justness of this, simply the mechanism.
Sufficient tax increases for the well-off would have the same effect as punishing the working class, but that's never an option for some reason.