I was wondering what the cost per game is on lichess, and fortunately the linked spreadsheet includes the answer: lichess currently runs at a cost of $0.00022 per game (4545 games to the dollar).
One stockfish computer analysis must cost more than merely playing 1,000 unanalyzed games.
Analyzing a chess game or two is not exactly easily verifiable, but it should be somehow possible to shoehorn that into a proof of work thing.
[1] 40 a day per https://lichess.org/features
https://lichess.org/blog/YOCx7hIAACUAgsUo/stockfish-14-has-a...