Thas, I stated that I have not seen box jellies, nor have I heard of any reports of them, nor have I found any authoritative sources which provide evidence of their existence in Cozumel. I am sincerely interested to read more about this if true, from a reliable source. As of yet, you have not provided any solid sources for your claim nor have I been able to find anything to support your claim.
I may not be an "expert" on Cozumel or Caribbean waters, but as a business owner, dive operator, home owner, and full time resident on the island for 5+ years, I do try to keep apprised of news, information, conditions, etc. as related to my community and chosen profession. Additioanlly, I would think that my experience in these realms would give some weight to my statements. However, I guess that pales in comparison to your vast worldly experience.
So, until you (or someone) can provide authoritative proof of existence of box jellyfish in Cozumel, I will stand by my original statement.