Yes, I think pretty much exactly that would happen. (I'm not super up-to-date on the CARES act or other legal measures that they might be able to take, or if unemployment pays out to people who "quit" their jobs currently, so there's a small chance that those are options)
However my conclusion is that's an example of why forcibly shutting down businesses was a terrible idea in the first place and never should have been done.
But yes I totally agree, our governmental systems are not set up to handle these questions.
I must confess that when the "flatten the curve" meme started spreading around and the initial 4-5% case fatality rate and 20% hospitalization rate numbers were being given, that I actually believed in flattening the curve and thus initially supported the lockdown. I should have known at the time that the goalposts were going to be moved. In retrospect it's incredibly obvious.