I really don’t think anyone is looking for any special praise for looking after their own children. I don’t know why certain people feel the need to try and twist things in that way. Literally nobody had said that.
I think the point is, that across the world and historically, the vast majority of care work has fallen to women. More than this, humans have been brainwashed to a greater or lesser extent to believe that this is “just what women do.”’ This has obviously been very convenient for men and for capitalism.
It’s implicit today in the very structure of our society where we have cleaners, gardeners etc often being paid more than nursery staff. Childcare work is seen as something “anyone can do,” when the fact is, not everyone can do it. The only reason care workers are low paid is because, traditionally, these roles were thought unsuitable for men. It’s no coincidence.
When you think about it, it’s bizarre. We are entrusting these minimum wage care staff with the most precious people in our lives. This is a huge responsibility for them. It only takes a second for a toddler to choke, or bang their head, as we all know. Yet we’re giving millions to people who do all kinds of abstract jobs, many of which, society could arguably do without.
I think this is the point the OP is trying to make and it affects all women, whatever you do. To deny the importance of care work to society and in underpinning the economy, is to make the impact of this work invisible - and thereby the input of women more invisible too. This will not bring about a society in which people can work towards a better life /work balance. It will only result in SSHMs being reduced to pointless, and WOHMs being told they have it all, when really they are just doing it all.