There is now how to use terms. Things mean what they mean. There no convolution to the terms proof of work and proof of stake. What we've been discussing are all real world things with mapped to actual physics.
Discussion
I see the mistake I made. I should have written "the business venture of Bitcoin mining is Proof-Of-Stake". I thought the following context was enough to clarify that I am not saying that the process of hashing is Proof-Of-Stake.
I only mean that the capitalist venture of mining more and more requires capital and only capital as the only way to hash .ore is BUY the work.
Mining more proves you've put in more stake into your mining operation.
That dosen't mean it's bad or unfair.