You can't use overall statistics to talk about specific cases of cross-sections. Yes, men work longer hours than women. But even in households where the woman is the primary earner, she takes on the majority of household chores, on average [1].

And this has been seen in multiple studies. See the "Work and Leisure for Dual-Income and Single-Income Couples" table here[2]. In single income families, a women earner spends 23 hours on household chores, compared to her (unemployed) parter, who spends ~29 hours on household chores. He gets around twice as much leisure time as she does.

Reverse the genders, and an employed man spends 14 hours on housework, while the unemployed woman will spend 45 hours on housework.

No matter who is employed, the mother always spends more time on housework than on leisure time, and the father always spends more time on leisure than on housework. That's true whether the family is dual income, the mother is the sole earner, the father is the sole earner, or neither parent works. In all cases, the mother spends more time on housework than leisure, and the father spends more time on leisure than housework.

[1]: https://www.jstor.org/stable/2782401?seq=1

[2]: https://www.pewsocialtrends.org/2013/03/14/chapter-6-time-in...

Household chores:

    --On an average day, 84 percent of women and 69 percent of men
     spent some time doing household activities, such as housework,
     cooking, lawn care, or household management. (See table 1.)

   --On the days they did household activities, women spent an average
     of 2.6 hours on these activities, while men spent 2.0 hours. (See
     table 1.)

Men: 120 min * .69 = 83 min / day

Women dating men, on average have a share of household tasks is 161% of their partner’s.

Childcare:

    --On an average day, among adults living in households with
     children under age 6, women spent 1.1 hours providing physical
     care (such as bathing or feeding a child) to household children;
     by contrast, men spent 26 minutes providing physical care.
     (See table 9.)

Men: 26 min / day

Women dating men, on average have a share of childcare tasks is 253% of their partner’s.

This is without even needing to dig into the crosstabs, on the data source you picked. Which supports the both widely accepted and studied conclusion that household and especially childcare tasks among heterosexual couples are absolutely not evenly distributed.

As for more studies, feel free to, I dunno... pick any of them?

https://scholar.google.com/scholar?hl=en&as_sdt=0%2C5&q=hous...

I really shouldn’t have to do the math for you on this. Your point is about as well supported by the data as climate denial and at some point you lose the right to ask other people to prove this to you and just need to go read basically anything on this subject.