My 9 Year Old Student Vs. Bobby Fischer

A student of mine recently lost a couple of tough games in the Dragon, so we analyzed the famous game, Fischer - Larsen (1958). Fischer analyzed it in his "60 Memorable Games" and Kasparov built on that analysis in his Great Predecessors series. 

This famous game reaches the following position...

Fischer played 20.g4, which Kasparov gives an !. However, he thinks black is still in the game there. After 20...a5 21.g5 Nh5 22.Rxh5 gxh5? 23.g6 white had a winning attack. Yet, 22...Bxd4 would keep black alive.

When I showed the diagramed position to my 9 year old student tonight, he thought for a few minutes about how to get the white queen to the h-file and came up with the enterprising exchange sacrifice 20. Rh6!? White aims to control the h-file at any cost and when I give Stockfish time to consider it, the engine agrees as well!

What do you think? Did the 9 year old best Fisher and Kasparov. Here's some analysis to make the case.