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2

Chess engines prefer to checkmate you as soon as they can, and if they can checkmate you in 10 moves, they look if they can also checkmate you in 9 moves. That's also why chess.com thinks rook promotion is better, because it saw a sooner mate. But if you see a mate in 3 and don't see the mate in 1, just play the mate in 3


8

There's no reason why the rook promotion is better. Don't listen to engines in positions where there's such a big imbalance


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A more comprehensive list of endgames sorted by the number of moves it could take to mate (based on Nalimov tablebases) is at http://kirill-kryukov.com/chess/longest-checkmates/longest-checkmates-sorted-by-length.shtml These vary in length from 1 move to 262 moves. It does not include the mate in 549 because that endgame has 7 pieces on the board and the ...


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