As for women boxing its was part of the Frankfurt School ideology to blur the gender roles so that the birthrates would decline, and there would be weak, effeminate men dominated by strong women, an act against the natural gender roles, in where you have a strong man leading the household.
Back to the subject of the article: Homeschooling is definitely a way for the public schools to "wake up", so to speak, before they lose all of their students to homeschooling, because of the children not knwoing anything. Moms are definitely the front line in educating children.