As lc didn’t do it for me here goes :
What the op describes is exactly why the Rebbe advocated girls learning in general, above what they need to know, which if a man would know all halacha etc that a woman needs to know, he’d be a gaOn –
But aside for that the Rebbe advocated all higher education for women because of the spiritual danger involved otherwise :
In the times past, a Jewish woman imbibed all her knowledge and yiras shomayim from the home – and it was great.
But today women and girls are fully educated in the secular subject, and they can mistakenly conclude that Yiddishkeit can’t match it cvs. So we must educate them up to par.
In the past, it was dangerous to teach such things to girls, because by nature, girls go with more emuna, and less daas, so why teach them questions and then maybe they won’t get the answers and they’ll have questions on Yiddishkeit for no reason.
It could cause harm and unnecessary so why do it?
But today, we are taught to question in the science classes etc, so aderabe women must be taught everything.