Did shutting down the economy (covid lockdowns) "raise average productivity"?
Many historians and economists will tell you that the Black Death contributed, or even caused, the sudden growth in productivity that went on to produce the industrial revolution. There is a real chance that Covid will cause amazing long term rises in productivity.
People are refusing to take low paying, unpleasant jobs. The obvious solution is to automate as much as possible of those jobs, that way raising productivity. That way you can pay fewer workers more to produce more products. The other obvious solution is to just cut staff, and try to figure out a way to make fewer people do more. If you have been to a movie theater lately, you know what I mean. That too raises productivity.
These are just possibilities, but we will not know for sure for years to come.