My understanding is that it is RCCL ships which are being allowed to dock at the International Pier. However it isn't every RCCL ship. There is only one spot available so if there is more than one RCCL vessel in port that day, you may or may not get lucky.
I know they cannot dock any of the Voyager-class ships at this time, only the smaller vessels. This also means that I get a tender ride in three weeks when I visit Cozumel on the Freedom Of The Seas.
We docked Ecstacy on May 4th, and there was one RCCL that was tendering. Didn't know why we got to dock, but it sure was nice . And, the beaches were not crowded at all...just pick a good spot for the day! Good luck!
I just got back from Cozumel June 4 from RCI, Rhapsody of the Sea and we were the first RCI ship to dock on the peir not down town but west of town. The docks are pretty banged up. The larger Carnival curise ship Conquest was tendered the same time were there. The island looks very bad due to Hurricane Wilma. There is alot of construction going on. Senor Frogs is now called 1/2 Senor Frogs. The Trees and buildings look in relly bad shape. However, I will say the island will look gread when the construction will be finished. There is alot fo workers all over the island with alot of hand shovels, manual labor and sweating. They and Grand Caymin Island got hit hard. Very hard.