When we were there last August, we were only allowed the 3 piece beignets as a snack. I don't really understand it, since the 6 piece is $3.99, so it's under $4, but that's what they did.
Maybe the 6 piece is considered more of a meal, like a slice of pizza or hot dog? A strange meal, for sure, but probably no worse than french toast sticks or something.