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I might be mistaken but I think when puzzle rush first came out a someone scored 60 or something but chess.come deleted it because they suspected cheating. And I think the way they tell if someone is cheating is to either let stock fish play through it or let someone play it with stock fish helping them and see how they compare to the suspicious score. I don't know this for sure but it makes sense to me
Comparing a game vs stockfish is useful because when there are no tactics humans and engines play differently.
But using stockfish to check a person's performance in puzzles doesn't make sense. At least not to me.
They have a lot of human data on puzzle rush, at least if they bothered collecting it. It'd make sense to compare it against that.
One way players get stupidly high tactics ratings is they do it so much they start remembering the puzzles. So they're not really solving, just playing the solution from memory. Puzzle rush is the same, and spicy played a ridiculous amount of puzzle rush, so one thing to check would be how often he's seen the last 10 (or so) he solved. Stuff like that.
This is the easy way to pass the CPA exam. They recycle questions so if you just focus on practice test questions over all other content you will see tons of questions on the test you can recognize from memory.