I don't quite see this conclusion.
Philosophy means the "love of Wisdom" (philo-sophia).
Sophia is a feminine noun which is often personified, like the Muse.
We read in Plato's Apologia that Socrates grants authority to the Oracle of Delphi; a female figure who divined Apollo. We see Plato assign the powers of cosmic necessity to the three Fates in Republic. We also see Plato in Theaetetus write that Socrates was a midwife for men's minds; and so men must give birth to children. In all this, roles of femininity are given precedence and even combined with the male - like how in Republic, he advocates for sexual egalitarianism between members of the Guardians. I will quote from the dialogue directly:
<if the difference consists only in women bearing and men begetting children, this does not amount to a proof that a woman differs from a man in respect of the sort of education she should receive; and we shall therefore continue to maintain that our guardians and their wives ought to have the same pursuits […] there is nothing peculiar in the constitution of women which would affect them in the administration of the State […] many women are in many things superior to many men […] one woman is a philosopher, and another is an enemy of philosophy; one has spirit, and another is without spirit […] only in the distribution of labours the lighter are to be assigned to the women, who are the weaker natures, but in other respects their duties are to be the samehttps://classics.mit.edu/Plato/republic.6.v.htmlSo, sexual difference is recognised, but not prohibited in excellence.
For misogyny I would rather look at the poets. Here is Hesiod:
<the race of women and female kind: of her is the deadly race and tribe of women who live amongst mortal men to their great trouble, no helpmeets in hateful poverty, but only in wealth […] Zeus who thunders on high made women to be an evil to mortal men, with a nature to do evil.https://www.theoi.com/Text/HesiodTheogony.htmlThe philosophical apathy toward women is probably due to the latent homosexuality of these figures (e.g. the Symposium shows how all the philosophers are homosexual in nature), while the heterosexual who endures the duties of marriage appeals to mythos over logos.