As far as I can tell based on scanning forums, to the extent humans contribute anything to the centaur setup, it is entirely in hardware provisioning and allocating enough server time before matches for chess engines to do precomputation, rather than anything actually chess related, but I am unsure on this point.
I have heard anecdotally from non-serious players (and therefore I cannot be certain that this reflects sentiment at the highest levels although the ICCF results seem to back this up) that the only ways to lose in centaur chess at this point is to deviate from what the computer tells you to do, either intentionally or unintentionally by accidentally submitting the wrong move, or simply by being at a compute disadvantage.
I've got several previous comments on this because this is a topic that interests me a lot, but the two most topical here are the previous one and https://news.ycombinator.com/item?id=33022581.
The last public ranking of chess centaurs was 2014, after which it is generally held to be meaningless as the ranking of a centaur is just the same as the ranking of the engine. Magnus Carlsen’s peak elo of 2884 is by far the highest any human has ever achieved. Stockfish 18 is estimated to be in excess of 4000 elo. Which is to say the difference between it and the strongest human player ever is about the same as the difference between a strong club player and a grandmaster. It’s not going to benefit meaningfully from anything a human player might bring to the partnership.
Magnus himself in 2015 said we’ve known for a long time that engines are much stronger than humans so the engine is not an opponent.
