I doubt that diving to over a hundred feet is typical of most Cozumel dive ops on most trips.
Agreed. I just thumbed through my logbook and found only a handful of dives (less than 5) where we went over 100 feet. The walls and one trip to see eagle rays feeding were the only times it ever happened. At Palancar and Columbia I tend to bounce off the mid 90's a lot but exceeding 100 is very rare for me in Cozumel.