Well maybe if your a public figure, leader, or creating the next generation you shouldn't be doing stupid things to begin with. If I had kids I wouldn't want them at a school that has this principle, who knows what else he does.
I think the whole "privacy" thing has gone to far. If you did something stupid you can't just pretend it didn't happen. Own up to it, learn from it, move on. If you fill out his form it just goes to show that you really haven't learned anything and should be trusted anyway. I would hope that Google keeps track of these and lists them in a database somewhere, let's see who wants there past erased.