Cozumel had three main piers - International Pier, Punta Langosta, and Puerta Maya. All were destroyed by Hurricane Wilma, but International and Punta are mostly back to normal. Puerta Maya is another issue...it is still almost two years away from being returned to normal service.
So...depending on the ship count and contracts, some dock and some tender. Punta Langosta is the best dock to me, since it is downtown.