Sure... when no human needs to be paid to provide these things, then they should certainly be a right. Fortunately, right now, you can't compel another human to take care of your health or your child without paying them.
> The idea that the only value adults provide is by what they get paid in money is a deeply flawed idea;
Money is a measure of how indebted someone is to you. That is all. To be 'paid in money' absolutely gives a good impression of the value you provide. When you do something for your neighbor without exchanging cash, you are still making money, because someone -- usually through social conditioning -- now owes someone to you. Woke people call this community building; accountants call it good will, and it absolutely has a monetary value, whether you determine it or not.
The idea that the only value adults provide is by what they get paid in money is a deeply flawed idea; as is the desire to make everyone self-sufficient irrespective of their profession. We have the ability to provide healthcare to everyone and we should be doing so; healthcare and childcare benefits should be a right not a privilege. Some people are lucky enough to work in organizations that provide generous parental benefits; most are not that lucky. We can't leave them out in the dust just because of circumstance.