Exactly this.
My oh and I used to have an ongoing argument about stuff not being done around the house and my sister who attended therapy with her husband at some point in the past said that the therapist said they should see time as 'accounted for' in terms of an accumulative goal, so for example you take dc for regular activities then that is accounted for time, it's time that you dedicate to the common goal of the household.
it revolutionised my life and my ability to reason with my own OH.
i work less hours than him, but I do most school runs, most activities, shopping etc and when you take into account those hours that are spent away from the home and accounted for in terms of family life, he was in negative hours when you compared it to his. So he's accounted for for 40 hours a week, for example, I'm at work 25 hours but accounted for for another 20 so therefore I'm now putting in 5 hours more a week than him....you see? So when you break it down like that and literally spell it out to him.
Thats without cooking, cleaning and childcare within the home which was also massively falling on my shoulders and every now and then he'd utter some stupid comment like 'when was this bathroom last cleaned' or something equally as irritating but now he doesn't. He just cleans it himself and he does do WAY more around the house because we no longer count 'work' as work in our house. It's 'accounted for'. I used to diligently iron his clothes so that he looked smart for work. Now I couldn't give a toss and he doesn't iron his own shirts, they don't get done.
I do still do more than him overall, but I am much less bitter and our whole relationship improved when we learned how to navigate this minefield and have a common ground - an understanding of the other persons commitments to the smooth running of things.
little things as well like planning days out, birthdays, Christmas, play dates etc etc. All of those things take time and mental load. He does do more household admin without a doubt but all children admin including doctors/dentist/school/shopping and gift buying etc I also do.
It's totally readdressed the balance. Sounds like you need to get him on board to understand this
The other outcome for us was that it massively improved our sex life as I felt more appreciated and understood, and the more effort he makes to lighten my load the more I appreciate him etc. It's the little things but it has definitely helped us ❤️