I get your point, to be able to see the exact moment of your death, how it happens and maybe even the day, but only that, not your whole future.
Well i would say yes... i would be curious to see it before hand, even though it is just one of the many possibilities of the way i could die. Seeing that moment changes everything, and who knows maybe for better or for worse.
An example: If i were to see that i would die before i reach 30, and i know that i will try to live a calm life, take care of myself, be precautious then f**k that, i would rather enjoy life at it's fullest, i wouldn't care if i would die earlier.
So depending on what you believe in:
1.That the death you see is bound to happen regardless of the way you live your life. In other words your life was already planned taking into account that you would see your time of death, and the changes that would come with it.
2.The moment you see your death, you try to avoid it or whatever, thus changing your way of life. And doing this even by a little would affect your future and thus you will day at another time, and because of completely other reasons.