Wolverine can be a real a-hole, and when he's in a-hole mode he's one of the best (worst) there is. When Batman acts like a jerk to his friends -telling his JL buddies to go to their cities instead of butting into his missions- he's right, considering all the crap they normally have to deal with.
Batman shows plenty of emotion, and knows how to handle his mood in situations where he needs to stay in control of himself.