Do you think there's a point to be made in the detail of the distinction?
My point is that death sucks, and when I say that, I'm talking about children crying because they can't see granny any more. Talking about cell death is a distraction.
Those crying children couldn't exist if their grandparents and their grandparents down the line never died. There wouldn't be enough food or resources to sustain indefinite existence for everyone who wants it.
>would you prefer a society that kills people at a certain age, or one that limits the birth rate?
Neither. I'd prefer one smart enough to understand the demographic economic paradox and successfully raise the standard of living so that the problem of overpopulation solves itself naturally.
Well yes, obviously you'd try to reduce the birth rate nicely first, and maybe that's a complete solution (to a problem you suggested), but that doesn't answer the question.
I'm asking what you do if population growth starts to outpace food production despite your best efforts? Do you start killing old people, or do you stop letting people have babies?