Wow, I feel like this discussion has got a little lost in the weeds.
It's not really a question of whether childcare (or cleaning, but mainly this is about childcare IMO cleaning is attached to that for secondary reasons)is an honourable or skilled job.
It's in terms of seeing the ability to use paid childcare to work elsewhere as some kind of feminist victory.
People are able to use childcare and work if they make more money than they need to pay the caregiver. This sets limits around who can afford it, and also who will go into it and what their economic situation is likely to be. Can some university student do that for a year, are their high priced nannies. Sure, but they really aren't characteristic of workers in the childcare sector. A family with two professional jobs and paying for care is better off than they would be otherwise. Maybe the mother also feels freer and more fulfilled as a result, but that doesn't in itself make it a victory for women. It makes it good for her personally, and maybe good for women of her class, and also families of that class.
But what about working class or poor women? They probably don't make enough to pay for care, so they aren't freer in that way, and they don't have access to the financial benefit of care, which accentuates the income gap. If they do childcare themselves they are now doing the same work, just for other people's kids instead of their own, but again that is similar work and not great pay, so how is that liberating for women as a group? What's more, where two income families are the norm, cost of things like housing tends to go up which affects them more. They may find they have to work to get by and use some sort of lesser childcare.
Even if you bring socialised care into the mix it can be difficult, as it may cut down choices rather than increasing them. It is difficult to justify not working for a wage when there is free or cheap childcare, even if you'd much rather be taking care of your own kids, and again the costs associated with a society of dual income families may force taking the job. And the satisfaction of the work for its own sake may not be quite the same between a professional job and some sort of service industry low wage position.
The fact is that some people will always have to be dedicated to doing childcare, and mostly it will be women, especially if it is paid care. So I tend to be suspicious when I hear that somehow women are going to be freed from the tyranny of childcare. The story is perhaps that somehow it's transferred from women who don't like it to those who do, but generally that doesn't seem to be the typical axis of the exchange.