Indeed.
I'm 'lucky' (apparently), because DP is 'good'. He is ruthlessly tidy and cleans the kitchen down every night, does most of the laundry, cooks a bit less than half the time and does all the nursery drops and pick ups and paperwork and nursery bags. I go away for work a lot and don't feel the need to leave a list of instructions or dinners. We used shared parental leave. I have the 'big' job.
But, BUT:
He has never organised a holiday in 13 years. Ditto Christmas, childrens' shoes and clothes, doctors appointments and vaccinations, catsitters, thinking about clubs and activities. He doesn't really clean- we usually have a cleaner for a couple of hours a week and he thinks that nothing else needs to be done (and who found and paid for the cleaner?).
Ours are small but DC1 was recently invited to a birthday party by another child at nursery. He brought the invite home and it has sat under the coffee table for WEEKS before I caved and RSVPed the parent. I hardly ever go to nursery and have no idea who she is. He knows her.
The thing my brain is busy with is what I think is the strategic work of the household- short, medium and long term- we've got people coming at the weekend, will we have enough clean towels, when do we wash them? Thinking about not just whether there is food in for dinner, but what will we eat over the week/month, how do we make sure it's balanced? DC1 is starting school next year, when are the open days, who will book and organise them, who will do the forms? When does the insurance need renewing, do we need to change utility company, what one-off cleaning (like the oven or inside kitchen drawers) should be done so we don't drown in a pool of our own filth?
And the thing that makes me so cross is, as someone up thread said, this is invisible work- and so he thinks I do a lot less than him (I am messy though...). I don't enjoy shopping for kids' clothes, it's not leisure time. But you do it on your phone or on the train or whatever, and the new trousers come, and go in the drawer, and nothing is said or noticed.
My mother warned me about this shit, and I swore blind I wouldn't do it. She laughed.