Energy cost and Inflation impact on the POW and POS protocols?

Considering the fast rising inflation in many countries around the globe and the energy cost per MWh going through the roof because of the War in Ukraine, what Impact should we expect on the two major solutions for crypto: POW and POS? I understand that POW might be directly affected by the overall situation due yo energy costs, but what about POS? What indirect mechanisms can have a major impact on POS.

Also, one would expect that with traditional FIAT currencies under pressure crypto could somehow benefit. We haven't yet seen anything like that. Why not and could it be that crypto will not benefit at all? In fact many will be forced to sell and get away from crypto as they struggle to survive.