I'm sure he can answer for himself but that's a rather naughty bit of selective quoting to get the sexist dig in.
Or, to offer an alternative perspective; it was a particularly deliberately selective bit of quoting of the part of the post commenting on the lives and choices of contemporary working women. That's neither 'naughty' nor a 'dig'.
What they didn't do was dump the kids in expensive day nurseries and then work full-time to try to earn enough to pay for the nursery fees that they wouldn't need in the first place if they didn't work such long hours
"They", in this context, being women. The ones who, as
@jefmcg points out are apparently 'dumping' (a somewhat judgemental term that conveys meaning, don't you think?) their kids in daycare unlike, presumably, the men who father them, because naturally it is completely common sense that women should be the ones with the responsibility for childcare and the rearing of sprogs. As
@Julia9054 says:
Working patterns for men and for women, for working class and middle class have changed
The world has changed. House prices and rents are unaffordable for most single income families. For many families the only way to afford the basics is to have two working parents. Many of the families I know aren't able to use free childcare provided by family, because their families aren't local since people move to where the jobs are - or because Granny and Grandad are still working full-time themselves to afford their mortgages and gas bills. With far fewer cars (and more cyclists) on the roads, those roads genuinely were safer for kids to walk themselves to and from school.
As to the historical accuracy or otherwise,
Harking back to when i were a lad doesn't provide any answers for anything relevant to now.
Although, for what it's worth, my gran cycled and then my mum cycled to work in her various (low-paid, part-time, fitting into the bits of the day around a full-time-and-then-some work as a caregiver) jobs for much of my childhood. As you say,
I do accept that things were very sexist in the 60s and 70s, but that's a different point from accusing him of being sexist
Which is why I carefully selected the part of the post that seemed to me to be making comment on the lives and choices of women today, which I found sanctimonious and sexist. I also quite carefully
didn't say that any individual was sanctimonious or sexist, simply that the I found the twaddle that I quoted to be so. Everyone is free to decide whether they think the rest is historical comment or a rose-tinted nostalgia fest for a time when men were men and women were women and, what's more, knew their place.
View: https://www.youtube.com/watch?v=LS37SNYjg8w