Hmm, I don't know about this. I think 20 rep squats have their place (I can't fathom 20 rep deads, with my back), but I don't think there is a direct correlation to high rep squats and increasing max weight. It can certainly help you gain weight, which can help you increase your max, but the type of strength built with higher rep movements doesn't necessarily have a direct effect on power built through low reps.
Then again, it's been years since I tried 20 rep squats.
Last spring/summer, I did breathing squats. Starting with 20 reps @ 135 and ending @ 225. It really gives your CNS a run for its money. Legs got bigger. Just make sure to do them first as you will need all your energy to complete them.
Thanks.
Yeah Edge I was thinking it might strengthen my cns and I definitely think less time in the gym will put on weight.
Sidenote: Interesting study discussing how exercise has no effect on fat oxidation post workout at least in this sample group.
http://suppversity.blogspot.com/2013/01/fasted-cardio-beyond-optimal-24h-fatty.html