That's ignoring the global nature of the supply chain. If supply is constrained and you give money to your own people, they may bid up prices some, but not by the entire amount because mostly what they're doing is using the money to outbid people in other countries. Which also means your people get more of the stuff.

This cancels out if everybody does it, but not everybody can do it.

The increase in demand from people having more money may also make it economical to increase supply faster and alleviate the shortfall sooner.