So I assume since he thinks women belong in the kitchen from our special evolution, he's very big on DIY and does it to a good standard, then?
He can surely do wood and metal work, does his own car maintenance and repair, and hunts (or at LEAST butchers) the family's meat? If he saw that a piece of furniture was in disrepair and needed a complicated repair job, since fixing things was men's purview, he'd surely jump right in and start working on it, yes? When the plumbing springs a leak, I should hope he springs into action and fixes it himself, as the dashing patriarchal rescuer he's so evolved to be.
I'm going to guess that the reality is, he does absolutely none of that. Men who like to go on and on about how worthless the women of today are for not loving housework, are spending their time playing video games and doing "hobbies," rather than doing anything that could be regarded as "men's work" in the past.
I've noticed quite frequently that people are very willing to let men off the hook and simply pay for "men's work" to be done, while women are given serious attitude and judgment for hiring cleaners, ordering in or buying ready-made food rather than doing home cooking, sending out laundry for a wash-and-fold service.
It's regarded as a bit scandalous for women to hire these roles out: doesn't she know she's neglecting her job? Yet men's "jobs" around the house have completely vanished except maybe a bit of barbecuing or lawn maintenance, and been outsourced completely.
There are, of course, exceptions, and their marriages seem happy. A friend of mine's husband recently did a total kitchen remodel for her when she was away for 2 weeks tending to a relative's health. He had spent months making the cabinets in his woodworking shop, obtaining cabinet and drawer hardware, and planning everything to the inch. It looks like a professional job, but he did it completely on his own (with help from his brother and father, who are similarly handy). You know something? She makes his lunches. Every day. And she is very much without resentment toward him for anything like that, because their rural life still involves him doing many of those "man jobs" of old.
Men in office jobs today like to tut tut about women's dereliction of duty, but they've shirked nearly every scutwork responsibility imaginable. Many of them moan and cry if you so much as ask them to take out the trash.