Actually I think that some people are professionally and openly *******s so they already have that personae to protect becuase its expected of them. At least, we did have them in Dom2.
So an anonymous game might have two results. Only the "Im kinda new at this ******* stuff" people would play, OR we would see the publickly known *******s joining the game to secretly try their hands at being helpful loyal allies without besmirching their known identity.
Either way it would be fun.
