No, he doesn't need that headgear for protective purposes. It's just part of the costume on "Think Fast!"
I won't get into the details of the show...check out the Wikipedia entry on it if you want to know the rules. All you really need to know is that I got some super-cool late-80's gifts, including a remote control car and foosball table.
Seriously, there was no real head trauma danger, so I'm thinking that the helmet and goggles were a bit of overkill. Plus, would it have killed them to have had a mirror backstage so that I could see that the chin guard was crooked?