Exactly, proof of work is even more for rich because it's all about availability to processors and cheap energy - guess who has that? super rich and corrupt.

Proof of Stake is validation by faith in the network which is infinitely more reliable and fair. In fact it's much more alligned with bitcoins philosophy of positive-greed than proof of work is in the current day. Heads of PoS need the network healthy for their assets to be healthy - heads of PoW can rotate shitcoins every month since they mine all the same.