It is very different: The difference is that PoW is censorship resistant. Anybody can be a miner and existing miners cannot censor new miners. Performing new work is external to the network state. In PoS, existing stakers can prevent new stakers from registering. Very important distinction.
This is patently false, endgame PoW centralizes mining around 3rd world coal/cheapest possible (stolen?) electricity. The overwhelming majority of the world has been priced out of BTC mining, not that they could get ahold of an ASIC anyways.
Sure. And analogous to PoS is some kind of galactic requirement that you pay some kind of space bond in order to go to space. Mess around and your space bond is slashed. I like the bottlerocket model better.