You are perfectly right! Grabbing the rook is what the computer would do, since it saw in advance that Black's attack can be stopped. But yes, Qxe6 is a game-winning safe move. What problem is that (message me).
Next time, post comments when you encounter the problem. It is more likely that somebody will answer.
So I decided to get my daily 3 in with Tactics Trainer in hopes I can one day pretend I'm a Grandmaster from memorizing puzzles :P
And this position came up... I thought wow, this is going to be easy enough, played the two moves most natural to me, and I was wrong...but I don't think I am. Does anybody else think the way I do?
This is the move I have a major issue with...it allows black to regroup in a variety of ways by playing Nd5 whereas Qxe6 Rf8 (Nf5 Bxf5 Nd6+ Kd8 Nxf5) puts black on defense for the entirety of the game with two pawns down at a major positional disadvantage with no possible counterplay til the endgame where it least matters with the shape the remaining black pieces would be in by then.
I'm almost POSITIVE I'm not wrong. Nxh8 may make sense in a program sort of way, where having a "hold" on the game involves little more than seeing ridiculous sacrifices and counterplay ahead so you can capture a pawn, but in my world, permanently restricting the play of the other side is more of an advantage than a rook will ever be.