That is from years ago, they've even shown it on MonsterQuest at one point.

If I remember correctly, they came to the conclusion that the alligator was already dead when the snake tried to eat it, because they believed it to be impossible for a python to constrict a living alligator that size without sustaining fatal damage due to the alligators rough hide. Which does kind of make sense, I would think the armor of an alligator would do very serious damage to anything trying to crush it.

But regardless, that story is ancient and has been endlessly repeated on the internet and forever embellished.

Gale