If there was an actual shortage of workers, wages would be rising for the essential workers.
I may not be an economist, but I think this does not make sense. If there is a worker shortage, do all of the workers go to work and say "give me more money"? I would also contend there would be no reason for say, walmart to suddenly offer more money just because everyone has been ordered to stay home. If there is an _actual_ shortage, increasing pay does not just fabricate workers. I have relatives who are essential…
A more real-world scenario would be more like a hospital facing a critical nursing shortage improving its compensation package for new hires. They probably wouldn’t bump current nurses pay unless they feared an exodus, but most companies operate this way.
Software firms do this all the time because the demand for developers is so high. A developer candidate that knows how to negotiate effectively can usually hit the top of their pay band or even exceed it. But the caveat is that it takes a job hop to get paid, which I assume is true for most other industries.