I carry a cell phone for the same reason. There's a better chance AAA can find me in my suburban wilderness if I can call them on the phone.I carry my ACR 2881 in the car any time I leave the house. Lost travelers, hikers, etc are always making the news.
In Cozumel, how far is the cell phone range off shore? Clearly boats can use them when they're at the dive sites. If I'm going to be lost at sea, at least I can play Angry Birds or listen to some tunes.