There's a difference between having potentially dangerous creatures on the property, and there being a high risk of injury or death from those creatures. I think that's what's being missed by some.
WDW has been open for 45 years. In those 45 years, there have been many thousand alligators roaming the property, along with many millions of guests. Guests and alligators have been in much closer contact that they are in most of FL, since Disney's been running beach events, and having guests view fireworks from the beaches, and sitting in lounge chairs on the beaches, for all of that 45 years. For the first several years, the beaches were open for wading, swimming, etc. To this day, guests water ski in the lakes, and there are even endurance events that have people swimming in the lakes.
In that half-century, there has been exactly ONE fatal alligator encounter. One. In nearly 50 years.
To me, that means that the risk of being injured or killed by an alligator on Disney property is astoundingly low. I probably have a better chance of hitting the Powerball than having an alligator bite me at WDW.
Alligators do not chase people down the beaches, snatch people from waterside walkways, or grab guests from their lounge chairs and carry them off. They hang out in the waterways, having a very satisfying diet of birds, fish, snakes, and small mammals, and would much prefer to avoid humans altogether. We are not their preferred prey. But if a human wanders into a lake late at night...well, as we have seen, bad things can happen.
Just because it's possible for something to happen, doesn't mean it's likely for that thing to happen. We have all learned why it's not good to go in the lakes and waterways in FL. That doesn't mean that the entire property is a deathtrap.