My take on the Coffee Invitation in the Hotel Elevator incident

Atheists should not necessarily dismiss religious teachings about women just because religions spread weird claims about things which we can't observe, like the gods, the afterlife, alleged miracles and so forth.

Men have had the ability to observe women all along, by contrast, and the doctrines they've formulated about women and attached to religious traditions just might incorporate some defensible but politically incorrect facts about female behavior.

In other words, atheists in the human nature realist camp don't necessarily have to defend feminism if the facts support traditional views of women's behavior instead of feminist exercises in Opposite Day thinking.