People often have dreams under such circumstances, and there are many who have died and been resusitated that report having wild experiences inbetween.
>we fear our eternal end WHILE we are alive
Again, you're mythologizing/hypothesizing here with your use of the word "eternal".
But yes, when confronted with immediate life threatening situations, all animals including humans have a natural fight or flight instinct. However, not all humans (and seemingly no animals) have such existential dread like you do of a future of eternal nonexistence. Your fear is a result of your materialist reductionist mythology.
The simple fact of this discussion is: no one knows what death is truly like, so we can only extrapolate, hypothesize, and mythologize.