HBA on the right doesn't put crosses in. TBF, he doesn't do it much on the left, he's not the type of player to be looking to whip a cross in, he likes to take on his man and either put a through ball in and have a shot.
Not strictly true. He likes to stand up a cross with his left, Cisse's first against Liverpool being the example that springs to mind.
I agree though, he normally goes for the through ball or shot, which is fine, we just need a proper winger to compliment him on the left.