Oblig. Douglas Adams reference
HHGG already dealt with what happens when people in vague pen pushing and talking middle class jobs are tasked with rebuilding civilisation.
I suspect the great and good in the bunker would merely be staving off the inevitable for a few weeks till the tinned food ran out, or till the water pump failed and it turned out none of them knew one end of a screwdriver from the other ("Screwdriver? Isn't that some sort of mixed drink, old boy?")