Like maybe some of these bullet points aren't so much counter arguments as _exactly the kind of thing we should be targeting

What are you targeting, exactly? The ability of women to choose? Because that's the only way you're going to equalize the kind of things you mentioned right before that quote--by giving them as little choice in the matter as men have.

If you compare men to childless, never-married women, the gap essentially vanishes. Women who choose to be less 'all in' professionally bring the female average down. You can't fault employers for favoring and paying more to workers who have more continuous experience etc.

Why is it culturally acceptable that women should do all a disproportionate amount of household chores?

There are no 'culture police' coming around to enforce this. This is decided individually within each relationship. And women are more than capable of leaving men who are not willing to do whatever share of those tasks (up to and including 100%) they want their partner to be doing.

Why is teaching so low paid now?

I suspect it's similar to the reason vets are very underpaid compared to other medical professions: being passionate about helping kids/animals opens one up to be easier to take advantage of, re wages. In other words, you love animals so you're willing to be paid less than you might deserve, in order to do the job you want to do.

That said, plenty of teachers are paid quite well, there are a lot of factors that determine whether a given teacher gets what we'd generally consider a 'good' wage.

Why is software engineering more highly paid.

Because it scales much more, especially as technology advances. Even the best nurse on Earth, for example, can only care for so many human beings in one day. But a piece of good software can serve millions, maybe billions of people. And a millions of people paying you one cent each will enrich you much more than 10 people paying that 'ultimate nurse' a large sum each.

It's a fact of the matter that STEM scales up in ways that fields like teaching and nursing simply can't. That's not misogyny, that's just reality. Another fact of the matter is that the skew toward men in engineering, for example, and the skew toward women in nursing, as an opposite example, are HIGHEST in the countries with the best gender equality laws/culture. Fact is, men and women tend to choose different careers in aggregate, when given the agency to choose. Read up on the Nordic Gender Equality Paradox to learn more.

Too much is being blamed on some sinister big plot by The Men to keep The Women down. There is no such barrier in the Western world in 2024.