Yes, but there are other positions that do fit the comparison, like a couple of advanced passed pawns that can still be defended against with surgical precision, but most times are lethal.
In chess, it's specifically used for saying "even with the best defense possible, you will be mated no mater what in a maximum of X moves." Computers use this definition as well. If Stockfish says # in 6, that means there is an indefensible path to mate available, and with the best play of the opponent will take 6 moves.
It's not a "Mate in X, probably."