
"I don't think like a tree - do you think like a tree?"
I believe John Nunn touched on the problems with Kotov's method as well in Secrets of Practical Chess.
The biggest thing to take away from him is the need for a thought process, not necessarily the actual method he describes.
Along similar lines, chess grandmaster John Nunn wrote, in Secrets of Practical Chess, that when you are down, you have two basic strategies: "grim defense" and "create confusion". If you are, say, a pawn down, it may still be possible to draw if you make no mistakes; your opponent will have to work hard to force a win, and he may even get impatient and try to win quickly with a risky strategy; this is "grim defense". If that strategy is unappealing (if his advantage is simple to consolidate and exploit, or if you don't feel like slow and careful defense), then you may opt to do risky things to create complicated, high-stakes positions and hope your opponent makes a mistake; this is "create confusion".