In the movie Rainman, in the scene where the toothpicks were scattered on the diner floor, the savant , Raymond (Dustin Hoffman) blurted out 82, 82, 82, 246. The waitress confirmed that there were only 4 toothpicks left in a box that originally contained 250. The savant's brain is wired to group the toothpicks in patterns of 3 groups of 82 each. Our average brains just see a jumble of toothpicks scattered on the floor.
You were able to find the move more quickly because you recognized it, granted, but it doesn't change the fact that it was the one and only best move. Pattern recognition only helps, but it doesn't explain good moves versus bad moves, at all.
I don't see how your Horvath example means anything.