I think in this case, you and Eliezer are both correct, but for different definitions of "winning". If one's primary goal is to find a solution to the puzzle (and get the good ending), then your advice is probably correct. However, if the goal to stimulate the experience of having to solve a hard problem using one's intellect, then Eliezer's advice seems more valid. I imagine that this is in the same way that one might not want to look up a walkthrough for a game - it would help you "win" the game, but not win at getting the most benefit/enjoyment out of it.