Spinning and weaving does not exclude your presence in the field when that seasonal work is required. Nor does cooking or childcare or house animals care. Also, that article is not about medieval times.

> However there is very good reason (pregnancy and nursing) that most cultures had men's and women's work as separate things.

I did not said women and men did the same things. I said women were in the fields. That should be uncontroversial considering we have medieval drawings of women working in the fields and historical literature lists field work women were involved in or responsible for (harvesting, planting plants, removing weeds, other similar work).

> That separation often resulted in men and women being separated by long enough that men would really want to cook their own meals instead of eating a packed meal.

We are talking about medieval farm and peasants field work. Even if it was only a man in that field, he was separated for a day and within walking distance. There is zero reason to cook food if you can pack it or if a kid can bring it to you.

> You wouldn't be a gatherer, but you could cook a quick meal over a fire, maybe throw some fresh herbs in the pot if you happened to see any.

Starting fire without matches is not quick. Cooking over fire that you just started is not quick. And it requires you to carry pot and raw food there, dirty one back. You don't do quick meal over a fire in the field from raw materials and have no logical reason to.