I agree that there's overlap between my argument and evolutionary psychology, although I reject the latter kind of psychology. That is, I think evolution has some influence on our mentalities and societies, but not a pervasive, all-encompassing influence.
Your criticism here, though, is easily refuted. First of all, in the very next paragraph in the article I refer to women's danger in giving birth as a counterexample. So your charge of sexism is baseless.
Giving birth isn't so relevant to the argument, though, since it's not a task that can be assigned to men, so women wouldn't likely feel guilty about such a biological necessity (about a role that can't be changed).
Anyway, here are plenty of data to back up my statement that men are given more dangerous tasks, and note the headlines:
"In the United States, there were far more occupational injury deaths among men than women. In 2020, there were 4,377 male occupational injury deaths in the United States, compared to 387 deaths among women."
"Men 10 Times More Likely Than Women To Be Killed At Work"
"Why Do Men Have the Most Dangerous Jobs?
Societies are more likely to thrive when they keep their women safe."
"Fewer men than women die of work-related injuries, data show"
"Men, masculinity and occupational health and safety in high risk occupations"
"Men die on the job more often than women, but no one cares"
https://www.bls.gov/opub/mlr/cwc/fewer-women-than-men-die-of-work-related-injuries-data-show.pdf
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4880472/
https://www.washingtonexaminer.com/opinion/men-die-on-the-job-more-often-than-women-but-no-one-cares