There isn't, in the grand scheme of things, much rational reason not to eat a live creature. Between all the creatures out there that eat each other alive (if you include microbes, that's a hell of a lot) and the question of whether the difference between being killed and then eaten is much better than being eaten alive, whether you eat live things or not isn't going to make a big difference to the amount of suffering in the world.

There are damned good irrational reasons.

Being cold enough to eat live (or apparently live) things is just not good for you. And it isn't even about cold, it's about mean. Because if it didn't matter to you, you wouldn't go to the trouble.

So no, I wouldn't eat it, for irrational reasons, because I am irrational, and I like me that way.