The problem with that thinking is that unemployment wasn't the only financial challenge of the pandemic. Our household income was only minimally affected - I'm not subbing this year, but that's not income we've ever relied upon, and DH was deemed essential as the primary building maintenance person for his plant so he worked even when production was shut down in the spring. But we've still had some big pandemic costs, including flying DD19 home from college on less than a week's notice, moving our bonus son back in after moving out months before, and having DS23 back to eating every meal here rather than being mostly on his own because of a 6-days-a-week work schedule. We had to increase our internet speed to accommodate two virtual learners and two unemployed gamers, and we got hit with overages on our data cap every month except for the handful when Comcast suspended the limits because of the pandemic. Of course, with 6 people here 24/7 rather than 4 living here (two working more than full time and one in school) all of our utility bills increased as well. And since DD's campus is closed but being here and trying to do school with a time difference in a busy household wasn't working for her, we're now paying for an off-campus apartment so she could at least go back to work and get together (outdoors and distanced) with some of her peers. None of those expenses are unique, and we're actually quite fortunate in that I don't have a permanent job so I can accommodate whatever changes happen with DD12's schooling - a lot of the working parents I know are also dealing with huge new childcare/mother's helper costs because they both work, either from home or outside of the home, and have kids young enough to need supervision in lieu of school and assistance with their virtual classes.
Unemployment and the federal supplement is supposed to help those who have lost income. The stimulus is to help offset the other costs of the pandemic and to encourage consumers to continue spending at a time where insecurity might prompt them to scale way back. We need the latter if we want jobs to rebound to help address the former.