Earlier quoted context omitted.
The coin is the proof that the energy was used. You're effectively trading how much you value energy.
No, that's incorrect. The price of the bitcoin has no relationship to the amount of energy burned mining it; if this were true then Satoshi's wallet would be worthless.
I think the price of Bitcoin does have a relationship to energy consumption. It’s obvious it’s on large time scales. And unless one has a very cheap energy source it will always be cheaper to buy from the market. So it’s a good in the ball park metric, the core issue to transfer value to old coins is that older coins grow exponentially more difficult to undo — so the fact that a few kilowatts could have mined many thousand coins in the early days does not decrease those utxo security and this value. There is an additive value of every block, and while head block at difficulty D virtually upgrades all the blocks before it to D, as you would need at least D+1 to undo just head-1, we build bigger defense walls every 10 minutes on average.