Second of all, QE isn't money given to the banks. When we have a deficit, the government sells bonds to banks. "Naturally" this would drive up interest rates for businesses because unlike the government, they can't issue an infinite number of IOUs and have to compete for a limited amount of liquidity. If interest rates rise too much, businesses will be forced to shut down, especially when people spend less money during a pandemic. Quantitative easing is a tool that allows the Fed to lower interest rates purchasing by these bonds back from the banks. The more debt the government issues, the more debt the Federal Reserve needs to purchase in order to lower interest rates. Basically, the root of the problem is that Congress is incapable of balancing a budget.
Remember that the cutoff for stimulus was from prior year's taxes. This means you could have been making 6 figures in 2019, and then be making significantly less due to covid job loss or reduction when stimulus was handed out. As a matter of fact, stimulus helped my family greatly even though we made 6 figures in 2019. So following through on your claim would have meant my family suffering. YMMV.
[1] https://www.cityam.com/almost-a-fifth-of-all-us-dollars-were...
It pales in comparison to the $9 trillion in QE over the past decade given to the largest banks.