I agree that it never hurts to remind visitors to the south that alligators are a threat. I remember wondering, during visits to FL, why no inland lakes have docks/swim rafts/beaches, etc. Now that I spend my winter there, I know the answer: the only water that is "safe" is a swimming pool. Even if there's no alligators around, there's still flesh-eating bacteria and brain-eating amoebas that lurk... I guess the tragic example is the little boy who was wading at one of the Disney properties, and was grabbed/drowned by an alligator. The sign said "no swimming", and he wasn't. Locals probably understand that "no swimming" means alligators might be present - but the poor kid's family was from Nebraska, I think.
So warning folks that alligators lurk, can run FAST, climb fences, etc is a good thing