I would only want to know if the date of my death will happen to be very near (i.e., within the next two weeks), or improbably far off (say, 90 years or more from now, which would make me 120).
If I have only a really short amount of time, I want to know so I can spend it to the fullest.
If I have a very long amount of time, I want to know so I can plan for it properly - divert more money into savings so I won't run out, etc.
On the other hand, if - as is almost certain - I'm not going to die in the immediate future, and on the other hand I'm not going to survive longer than I think at all possible based on medical science and my family history, I have no interest in knowing about it. Won't do me any good, and likely to do me much harm.