One could look at the issue this way: Being immortal would give One plenty of time to decide if He or She really wanted to live forever or not.
And in the mean time, plenty of time to do hell of a lot of other things.
I like the idea of not having to worry about death.
Pick what You think is better:
1) Death will come to Me when it does.
2) Death will come to Me if and when I choose it.
I kinda like option 2 better. And, death really is a choice in many ways, maybe even only a choice.