Seems fairly reasonable on its face, actually; once you've gotten rid of disease and age, what's left is accidents, violence, and suicide if you're counting that separately from violence.

Upvoted, though, because I think you're undercounting accidents (more Americans already die in automotive accidents than die violently, by a large margin; I'd expect the same is true for the rest of the First World but haven't seen statistics) and making too strong a statement about the structure of posthuman society.