[ShorsHammer]

Given the unwillingness to back up your argument, would you instead simply show one pure Proof of Stake system that is used today?

[decentralised]

If you can define "pure" in terms of how it relates to energy consumption, I can try.

The one PoS system I'm (edit: deeply) familiar with is Ethereum 2.0's, I wrote about it a couple of years back: https://medium.com/@jpa_of_snc/consensus-casper-and-cryptoec...

There are testnets using this already: https://medium.com/prysmatic-labs/ethereum-2-0-phase-0-testn...