I used to work from home, my late wife would always ask to go out because I'm at home.... My boss rang one day as we walked round Asda, he understood the situation as long as my work was done. When we had kids, I had 2 months at home, I also did all night feeds,.nappies etc so my late wife could sleep and the same with baby 2 who was and still is seriously disabled.
My wife would put the washing on during the day, I'd sort it out at night, load the dishwasher, iron my own shirts (yes I'm that.old).
Cooking we shared as I was better at a.few.things and it made.sure.she rested. Wash his kit either on a high temp to shrink it OR if it's white, accidentally chuck in something red just in case the colour runs.
Now days, there are no gender roles because if you wasn't there, he would be doing it all himself and 11 years as a single dad, it's bloody hard.
He needs to get his head out his backside and step up