My quote explicitly stated that it excluded children and women. What is included in that image? I assume it's everybody ("persons"), so I'm not sure why you want to use it as a counter-point to what I quoted. What I wrote already acknowledged the huge amount of progress for children and women. Of course the curve shows significant improvement when you include those groups. See my last paragraph in the comment you replied to.

The chart shows all persons, and all ages. You can see the decrease in child mortality at the left of the curve, and the relatively small change in the age of the oldest at the right part of the curve. In the central part you can see where the biggest effects have been seen, i.e. in the annual risk of death for all persons.

E.g. for the cohort born in 1851, and who survived childhood disease, there was an annual risk of dying between the ages of 20 to 60 that was very much greater than the same for the cohort born in 1931.

You are correct in that most of this improvement can be accounted for by improvements in treating and preventing communicable disease, and prevention of septicemia, including but certainly not limited to those acquired during childbirth, as well as better management of the birth process itself.