Teej is talking about the Awesome Factor. Different for every Pokemon to every trainer, The Awesome Factor determines how much badassedness a Pokemon has. No contest can withstand the awesome might of the Awesome Factor. That's why there's no Awesome category in a contest. The potential results of a truly Awesome Pokemon would be catastrophic.
As for Wobbuffet, well, let's see. Cherimu attacks, Wobbuffet uses Encore to make it the only attack Cherimu can do, then uses Counter to constantly strike back for double damage, winning by attrition.
And Wobbuffet's Awesome. Not Cute, but Awesome, and Awesome's, like, the bomb in a game of Rock-Paper-Scissors.