Having lived around these critters for over a half century, I can hopefully supply a couple of points..
They have a very small brain, about the size of a walnut, located just to the real center of their skull, in line with the eyes. Well protected by heavy bone, and hard to hit with a well placed round, let alone a blade of any kind/size. Unless you disable the brain, the animal won't be much affected by any other damage you may do to it. If you sever an artery, they'll eventually bleed out, but by that time, a victim is likely to sustain bad damage as well.
They are pretty protective of their eyes, much needed in their hunting and stalking methods. If you are able to inflict damage to an eye, with even a sharp stick, they'll likely back off.
If one were to actually grab on to an extremity, arm leg whatever, the next thing they're going to do is roll. In this way they actually break the bone(s), and the limb is likely torn completely away...(as in the case mentioned)... If you can keep him from rolling, by literally jumping on and wrapping other available limbs around him, while going for his eye(s), rolling with him, you'll stand a better chance of not losing parts. And as they really don't want to fight with their food, they'll likely back off...at least for enough time to get away.
They are always going to try to drag prey into deeper water, as drowning is a quick and secure method to kill...
A gator sees any animal that he is capable of dealing with, as food....feeding them or trying to make a buddy out of the one in your pond/lake, is seriously dangerous, because then they ID people as food products, and lose whatever natural fear they may have.
Your best defense is to learn their basic habits, and never take 'em for granted...just because there isn't one there today, does not mean there isn't one there tomorrow. Ambush is a way of life with them. And they get real good at it.
And I fully agree....I'd much rather have to deal with a gator then a big croc....croc's are much more aggressive and dangerous. There are a few down the the far South FL area, but none around our area...at least that we know of anyway...
Philthy
In the blackwater swamps of beautiful downtown Odessa FL