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Any detection scheme based on extra information from the client could be defeated by running the chess engine on a separate computer. A human typing in their next move is indistinguishable from a human copying a move from an airgapped chess engine. Therefore, the only information that can be used to tag cheaters is the moves themselves.

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> Any detection scheme based on extra information from the client could be defeated by running the chess engine on a separate computer

Response time and strength consistency could be detected regardless of having another computer.

If a person is always playing fast moves, or playing very consistently or very inconsistently good moves, they could be detected.

Comparing with results from an engine is exactly how you obtain the "strength" of moves that you speak of.

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