I just got off the Triumph yesterday from the western carib itinery. We were in Coz last monday. The RC ship was docked at a temporary pier. All the other ships were tendering.
Yes, it takes some time to tender. It is a hurry up and wait situation particularly if you are on a ship excursion. We waited to get off the ship around 10 am and did not have problem. Probaby no more than a 20 minute wait.