If I could have a thousand years to read and study deeply and just write and think, I would take it.
Yes my loved ones will die and that will make me sad. I'll grieve and move on. My life is not theirs - their death does not mean an end to what I am doing.
Flip the problem. If you could bestow a friend/family member with a thousand years, even knowing you will die, would you?
One of the ancient greek prophets declared the apocalypse would happen in 9 generations. She was quite wrong. Most doomsday prophets are (well, probably all but the last one).