Alex,
I have to admit I cringed when I saw your post. As a person who has seen a "nuisance" alligator trapped and taken away (to be sold for meat), I must admit I get sick to my stomach any time I see close, underwater photos of these intelligent animals.
Below, are a couple of links to articles that are very informative. Basically, it doesn't take much for people to call in an alligator as "nuisance" - and as you will see from the FWC article in 2007 10,000, yes 10 thousand alligators were caught as "nuisance" animals and slaughtered in one year, 2007, in Florida alone. This is in addition to those that are hunted with permits.
Usually nuisance gators happen because of people feeding them (which is illegal). But, in actually, any alligator that is over 4 feet and people see anywhere near any populated area, and even in more remote areas, can and usually is reported as a "nuisance" gator. The trappers are called, the gator is captured "alive", just for the show and PR - then the animal is killed and the meat is sold.
What has this got to do with u/w photographers who want pics of gators? Everything, as it is the boldest gators that get themselves into trouble. As one of the articles below states, not necessarily those gator protecting their nests, but those gators who have become accustomed to being around people (the article sites golf courses and recreational areas for example). Of course u/w photographers could unwittingly "embolden" a gator and pretty much sign his death warrant. Even in the more remote areas of the glades - actually no place is really remote any longer - but in the current drought situation, gators pushed out of the shrinking mud holes can wander into populated areas. So no one can be sure that gator that got used to people or cameras won't wander into a populous area and be taken. Also the gator hunters kill the bold gators - just the very gators that are likely to be photographed.
You can see why I get sick to my stomach any time I see a photo of an American alligator that was taken at close proximity, say with a wide angle lens (I do believe people can stay at a reasonable distance with telephoto lenses, usually). I have seen a couple of small gators at Crystal River and I never photo them as I get so sad, like seeing a doomed creature, do I really want to take its photo? I know as soon as it is too big to be "cute" it will be trapped and killed.
Upshot is, does anyone really want to put an animal at risk to get a photo? I'm sure that is not the intention at all, and I think it is just done because of misunderstanding, lack of data and/or thoughtlessness.
Here's link to FWC page where it says 10,000 "nuisance" gators were killed in 2007:
http://www.floridaconservation.org/NEWSROO...s_GatorFAQs.htm
And here is a link discussing gator control, and what actions tend to make gators a "nuisance":
http://crittercontrol.com/animal-facts-alligators.php
Best, Carol