On average women do more housework than men do. But that ignores the fact that men do more paid work than women -- which is the biggest reason for that gap. In fact when both partners work full time, men put in 63 hours combined work per week, with women only putting in 62 hours in comparison.

So at the end of the day, men are just as tired, and have just as little free time as women. In fact men have less free time than women when all is said and done.

If women want men to do more "cooking and cleaning", then they need to take equivalent burdens off the shoulders of men for that to happen. Things like yard work, home maintenance, and overtime at work so he can come home earlier. Not to mention all the other things women expect out of men: driving / chauffeuring, pest control, checking on things in the middle of the night, running erands, auto maintenance, etc.

Because that is what ultimately creates that division of labor. Men are more than doing their fair share around the house. And it's about time we started demanding recognition for that.

Sources:

https://ifstudies.org/blog/the-myth-of-the-lazy-father

https://www.pewresearch.org/fact-tank/2019/06/12/fathers-day-facts/ft_18-05-01_fathersday_time/