You sure about that? Or is it that the majority of women don't see themselves unclogging toilets for a living? I have never seen it, but I would suspect list of female applications to plumbing or electrician school is very very short.
Few female applicants to trade schools is consistent with the original statement. If it is societally unacceptable for a woman to be a plumber then I would expect women to act as any rational agent and factor this in when planning their future career.
As for your claim that higher class males avoid trades: yes of course. That is actually a great example of what I mean. People factor in social norms in their decision making, be it male or female.
I believe that norms shape behaviour, that is the extent of my claim.
But like, given they require physical strength, it is hard to make a big deal about it.
Of course clearly when women were under-represented in college, that was due to misogyny. And now that they are over-represented, it's also due to misogyny. No matter what the facts are, the conclusion is the same.
There's a word for that.
"The average Plumber salary in the United States is $58,659" - https://www.salary.com/research/salary/benchmark/plumber-sal...
"The national average salary for Human Resources is $65,314 per year in United States." - https://www.glassdoor.com/Salaries/human-resources-salary-SR...
"Forbes cited HR Manager as a “best paying job for women” in 2011, with over 70 percent of the profession dominated by females." - https://www.forbes.com/sites/theyec/2012/07/11/why-human-res...
"At the administrative level, 30 percent of human resources assistants had an associate degree as of 2013, 26 percent had a high school diploma and 21 percent had at least one year of college experience" - https://work.chron.com/education-requirements-human-resource...
It's a lot easier for men to find a decent paying job that doesn't require a college degree and where you won't get regularly harassed.
Most women just don't want to do that. I don't think it has much to do with acceptance. Women that want to become plumbers are few an far between.