That Ne6 idea is a motif that appears in the most popular line of the Bayonet Attack of the KID. It's certainly not a natural, intuitive move. In the KID line, white plays Ne6 to force black to capture with the LSB, which is crucial in the kingside attack. It also frees up the d5 square and allows white to open the center and expose black's king. Plus, that pawn on e6 can be surprisingly difficult to capture. Here's a good, illustrative KID game.
Shirov-Radjabov, Linares 2004
In that Cheparinov-Shulman game, the idea is similar, but all of the elements aren't there. White isn't threatening to pry open the center right away, but the knight is very strong on d5 and black has to worry about annoying e7 tricks at some point. Plus, here, the pawn on e6 really keeps that knight on h6 all bottled up.
The more I learn about chess, the more I realize how great GMs (and all strong players, really) are about recognizing familiar themes but noticing the subtle differences between the original position and the one in their game.