I don’t think the arrangement means you should become a 7 day drudge who does everything and DH never lifts a finger ever.
For example, I’d imagine that at the weekend, he might make a lunch, or clear up after a meal, or nip to the shops for a top up shop, or tidy up some toys that are out.
However, I’d imagine that in the week, between yourself and the cleaner you’d do the general housework, so it wasn’t a case if it being done (or much dine) at the weekend, and he wouldn’t need to engage with the general cleaning of bathrooms, or big shopping etc. As you’re at home, you would probably do most of that. It would be rather disappointing as the paid worker, to get to the weekend and find all the weekly jobs remained undone and needed doing at the weekend, and there was an expectation that huge amounts would fall on you.
The thing is, some jobs still need doing at the weekend. If the main cleaning etc had been done in the week, hopefully it isn’t much. But there is still tidying of toys, possible laundry, making and clearing up meals. Having been at work all week doesn’t mean you sit in your arse and watch someone else do all of this. You still expect to join in and play a part….which is what family members do. It probably wouldn’t be doing a big shop or a through big house clean, but loading the dishwasher or unloading it, or making the kids lunch just seems part of weekend life for all adults in the house regardless of what they did in the week.
These things are more nuanced than most people want to suggest. It doesn’t have to be the case that he does zero, or the jobs are split 50/50 at weekends.
And I have known families where the woman who stays at home is really struggling with mental health, and the man went to work, did night feeds and most of the domestic stuff too. It was what was necessary in the situation.
Families which work well, with people who communicate and get on are able to be a bit flexible and not totally rigid about these things. There isn’t a ‘keeping tabs’ or totting up how much one person has contributed in different ways, or that you are ‘owed’ more domestic work form the other person. People do what is needed at the time. And if that means the person who went to work all week runs the hoover round because friends are coming over, and they are the person about to do it, that’s fine.