Much like the bankers, the world would largely just keep running.
I think this might be a completely orthogonal concept to measuring how "bull shit" a job is, despite how often it gets brought up in this context.
There are very few doing the essential jobs.
As a counter-example, I think everyone who is currently working to reduce environmentally-damaging emissions of industrial processes are essential to society, but if they all disappeared tomorrow it would have little immediate impact.