That is a theory that can explain some fields. However, so many exceptions exist that it can't be the whole story. For example, women dominate
* Clinical psychology
* Veterinary medicine
* Biology
All of which are important, fulfilling, well-paying fields. In all of them it's hard to say women were "pushed" there, rather women were very interested in them, and arrived in larger numbers than men.
I don't recall saying it was the whole story. It's a big world. I'm just telling the "OMG discrimination" guy that it's important to understand the history.
But if you'd like to claim those as important exceptions, you'd have to show that those fields are important and well-paying relative to other options available to those women.
* Clinical psychology
* Veterinary medicine
* Biology
All of which are important, fulfilling, well-paying fields. In all of them it's hard to say women were "pushed" there, rather women were very interested in them, and arrived in larger numbers than men.