Nice turn to the thread for a change. Perhaps the housewives are busy taking their children to school.
Some people are just miserable whatever they do. I don't think that whether you work or don't is the factor that most decides your brain chemistry, your propensity to despression, your life view.
100 hours a week is not common. My daughter's friend who went straight from university to a bank (he is an exceptional boy in all respects) to a starting salary of £65k has been working some 7 day weeks and things like 24 hours without time off so may be he has been up to 100 hours but that's quite rare.
It's hard to know what hours I work. If I'm out solidly doing one thing then that's pretty easy to calculate. If I'm here then I do a mixture of things. I just broke off to cuddle the gorgeous sleeping twin with his red and squidge up cheeks who looks about 3 hours younger when he's asleep then I broke off earlier (much earlier) to deal with the other twin, gave the 21 year old money for the hair dresses, put on dishwasher, in other words the home and work things are a constant over lap when I'm working at home.
(Don't need anyone to work for me - it's just too complicated to bother with I think. I like the purity and simplicity and cost saving of my being the only one working here)
On the question of whether children want mothers (and fathers) to work it's not straightforward. My mother was very clever and worked full time (in fact kept my father when he was a medical student for years on her pay in the 1950s) for 13 years until I was born when she was about 33. Then I think she was content to be at home when we were little but about 5 years in she seemed hugely to resent it, complained constantly about she'd just done 5 loads of washing tha tmorning whereas my father was being treated like a God, on TV, admired by patients. When she died I found stashed in her room some grateful notes from his patients she had intercepted and never given to him (I think she hated him very much which is a separate issue). So yes she became the martyr thing, didn't she and I really can't see how we benefited from that at all except that it presumably made all 3 of us including my brother reasonably feminist I suppose. She could have returned to work. no one stopped her but she got trapped in a cycle of feeling fed up and hard done to without effecting change.
Many women do this - they love to moan about their lives, their men, their children but they never then change anything.