Although I agree that in your case it is better to do them at home, it is not so bad to do them in Cozumel, either. I have certified several people who did those dives on the first days of dive trips I was leading, including one in Cozumel. In the Cozumel situation, I did them in cooperation with the dive operation we were using--it would have been roughly the same if they had done it themselves without my presence. We did dives 1-3 the first day in the shallow area on Paradise reef. After the skills were done, the DM led us on a dive within the maximum depth of 40 feet (first 2 dives) and 60 feet (3rd dive). The student had a pretty good diving experience, with lots of personal attention. The next day we went on the same 2-tank dive trip as the rest of our group. The DM led the group on an 80-foot dive while I stayed with the student above them to stay within the 60 foot limit. We met as the rest of the group ascended to our level and finished the dive together. The student had essentially the same dive experience as everyone else, just not quite as deep. He was now certified and joined everyone else for the 2nd dive of the morning and for the rest of the dives that week.
As for diving in Cozumel in general, I have been there a number of times with my non-diving wife. I did 2-tank dives every morning while she did whatever it was that amused her (mostly snorkeling), and then we were together for the rest of the days and the evenings.
As for diving in Cozumel in general, I have been there a number of times with my non-diving wife. I did 2-tank dives every morning while she did whatever it was that amused her (mostly snorkeling), and then we were together for the rest of the days and the evenings.