Those claims are about ancestral environments, not ones with modern contraception, wealth, and education.
With respect to men and women having children, recall that men have shorter lifespans with much early death from high-risk strategies (industrial accidents from more dangerous jobs, death by violence, etc, etc). Old men are those who were not killed off by those strategies, and tend to be relatively high-status (high status is associated with longer life, not to mention that married men live longer).
People often talk as if these rules were universal. In fact we have very little evidence for their universality. We don't even have convincing evidence that they held more often than not in ancestral environment, even though it sounds plausible.
In particular is the second paragraph of your comment referring to the modern world, or a typical ancestral environment, or both, or do you claim it's universal?
Right now, male and female lifespans don't differ that much until long after fertility, so different life expectancies don't matter (and historically either...
I love seeing counter-evidence for everything. I estimate that while most of my beliefs are true (otherwise I wouldn't believe them in the first place), a small percentage is almost certainly completely false - and I don't really have any reliable way of telling the two apart.
Indiscriminatingly looking for counter-evidence for all of them can be very rewarding - the ones that are true are much more likely to sustain the assault of it than the ones that aren't. Yes, I might ignore counter-evidence of something that's false, or accept it for something that's true, ending up worse off, but it seems plausible that on average it should improve quality of my beliefs.
For example some of the standard beliefs about human sociobiology that seemed to be extremely widely held here are:
Charting Parenthood: Statistical Portrait of Fathers and Mothers in America disagrees with them.
These are not direct tests of sociobiological claims, so what we have is not exactly what we would like to, but I find them to be quite convincing counter-evidence. My belief in these sociobiological claims is definitely lower than before, at least as far as they concern modern world, even though I can imagine more focused studies changing my mind back.
More counter-evidence for things we commonly believe here, sociobiological or otherwise, welcomed in comments.