Flipping the table has 0 benefit in a game of chess. There is no loser until checkmate. Even if checkmate is a forgone conclusion, there's still the tiniest chance that the player in the winning position makes a colossal fuckup and you can win. And even if they don't fuck up, you can still try to force a draw depending on the situation. So the only thing that anyone who wants to win (and in this case winning means surviving) would do is play the best move every turn no matter what the outcome looks to be.