This is really interesting to think about. I wonder how much we actually know about division of labor in lower class households in the Middle Ages. A big problem with the way we typically do history is ignoring the lives of ordinary people to focus on the elite.

Like, when popular historians write about the typical foods Romans ate in the late Republic, they'll focus on honey basted baby sparrows and freshwater fish out of the Tibur, usually without mentioning that only about 1% of the population ever had access to such delicacies.

As to childcare and household responsibilities, not only don't we know how the average Roman lived in those times, practically no historian has ever even asked the question.

And the Middle Ages, or at least the early Middle Ages, are less well documented. I've felt a bit skeptical reading recent articles about more leisure time in the Middle Ages, and sex-differentiated labor is just one reason why. I think we should be very careful before we draw conclusions based on extremely limited data.