@Olivier5,
I can only speak for myself, but my girl pals were similar.
In our marriage, our household roles rested on our capabilities and interests.
He swept the floor, because I had terrific allergies to cat dander and dust mites. I did the upper level cleaning - all the cabinets, window sills, etc., because that could be done with a damp cloth.
He washed Kelly, our irish setter, since I was allergic. He's the one who took Kelly through obedience training, both in classes and in training him across the street where there was a long grassy area, and in taking him for a mile run.
We both liked to cook, and depending on what was going on in our lives, we'd switch off. If he was home writing all day, and I was a work, he'd often but not always do the cooking and I'd do the dishes. When he worked all day at UPS, unloading and lifting heavy furniture for a certain department store, I'd be the cook and wash up too. It took two guys to carry an armoire up, say, 90 steps.
I loved to garden, so I did all that. I liked to decorate, and did that, always asking him his opinion.
I did most of the grocery shopping, which I enjoy doing, but sometimes we went together.
On shopping for clothes? We sometimes did that together, sometimes not.
On picking movies to see, he probably predominated, but not always.
On buying albums, we each bought what interested us.
When I drew up plans for our house remodel, I drew them at work where I had a drafting table et al, took them home and got his input and made changes based on that.
When we did the remodelling, he and a helper did most of the construction (except for the electrician plumber friend). I was the one to go get stuff at the lumber yard/hardware store.
I'm the one who painted the walls and ceilings, played with color samples, but also asked his take on those.
Later, after the house remod, he got a job about an hour away handling the production of plays and performances at a city cultural center. I wanted to redo the garage as my studio, and was the one to do all of that, including adding new beams (that's tricky, I needed two ladders), replacing two whole walls, adding windows to a third wall, closing off the old door entrance and adding a new one facing in another direction. Also built a new garage door. He 's the one who hung the door when I'd finished putting it together. I didn't do the wiring (our electrician pal did) and the one time I needed to get up on the roof, J. did the for me as I was a scaredy cat.
On driving to his parents place about 2 1/2 hours away by freeway, I would drive there, and he'd drive back, since I'm night blind.
As I said, most of my female pals who married or lived with a guy broke down tasks in similar ways. Those who had children worked out the child-raising as whatever worked best for them in dividing time and care.
So, I don't think of us all doing things because of our gender although some stuff fell along those lines; more that we did things because of our individuality.