If we think about this as a work issue. Like many of you, I expect, I manage teams delivering quite complex projects. Elements of their work is mundane, other elements need judgement. My role is to risk manage and to decide which bits I need to do myself. Sometimes I do indeed do the most unrewarding and difficult stuff, if only as I know that more junior staff will hate it, do it badly, and I will just have to do it again. More often, I do the stuff that matters most in terms of judgement, and I supervise the rest. Certainly, if I tried to do all the work that all my team do, I would explode. But there were stages in my career when I did do the mundane stuff that I now supervise, which is just as well, if I want to review their work.
How does this translate here? After all, running a home would not be a complex work project if someone added it to the day job. It's all predictable stuff. We could choose to delegate all or some of it, or we can do the bits that matter most in terms of parenting.
For me it was about waiting until the workload could be delegated sensibly, which in our case was when the DC hit 6, 4 and 2. Then I went PT, and when they were 11,9 and 7 I went FT, but changed to a local job so there was no commute. At the SAHM stage I was maybe old fashioned but I did take the view that my job was to do the lot. At PT stage we paid for a cleaner.
Now i have been FT for 10 years. cleaning is all delegated. Some laundry is delegated. DH now does his share of what's left, as we both work FT and both earn the same. We have territories. I cover some things completely and he covers other things completely. So within his own territory, he notices things and take initiative, and I don't interfere in his way of doing it. I don't expect him to have the same sense of what's needed in an area that I normally cover.
I guess when you decide to make the move from staff to management, as it were, depends on your DC and on your own view on how much parenting you want to do personally at what age. I do think it is both easier and actually fair that if you are SAHM then your job encompasses the whole deal, but you absolutely have the right to bodge it. A perfect clean house is not the aim, at least, it wasn't for me.