I agree with your basic sentiment, that it's wrong that we so often assume that housework is women's work, and that it would be better if that gender expectation were not taken as a fundamental given.

I disagree with the view that the washing machine, and other domestic labor-saving devices, haven't been deeply beneficial for hundreds of millions of women, even though it is still a mistake that we still see doing the laundry as a job for women. I disagree because changing cultures is really hard and really slow, while changing technology is, by comparison, incredibly easy and fast. And it is absolutely better to make easy, fast changes, whenever that is possible, than to sneer at them because they do not solve the underlying problem. They still solve some part of the problem. Sometimes to a significant degree. That matters: billions of hours of trivial human labor have been saved, many of them going instead to the leisure, study, and thought necessary to move people toward the real solution.