You sidestepped the workplace death question. Why are we so worried about forcing women into STEM no matter what, but we don't care about forcing them into the jobs that cause all those workplace deaths? As a corollary, why do people without STEM jobs constantly complain about
other people not having STEM jobs instead of leading by example? After all, as we're constantly told, we need every able-bodied STEM grad we can get our hands on.
Lip service doesn't matter; change matters.
If you look at nursing stats, men leave at a much higher rate than women. Sexual harassment, liability when caring for women and children, getting saddled with the harder jobs (because he's a man), pay sucks, and a general every day attitude from everyone about being a male nurse (with the added bonus that generally speaking, old nurses really hate new nurses and the more different you are, the worse it is). Generally speaking, you'll tend to see male nurses gravitate toward specialties or travel nursing where most of these issues are less prevalent.
What about teachers? The split used to slightly favor men over women once upon a time. If there were ever a profession where male/female diversity were important, it would be in the education system. Instead, we see the huge male pedophile scare of the 70-80s followed by a large drop in the number of male teachers in general and in younger grades in particular. Most male elementary school teachers are there for PE. Factor that out and it's extremely easy for your child to go through almost a decade of schooling without meeting a male teacher.
To tie that particular idea back to software engineering, are the majority of female elementary teachers self-loathing, backward individuals who believe in the inherent inferiority of women? If not, then why do they work so hard to keep their female students out of certain parts of STEM?