I do think there are a lot of people, like the OP, who think people should be. They view the structure of modern society and the lack of free rides as something that "boomer, petite-bourgeoise types" have imposed on us, rather than a reflection of underlying realities.
Uh, that's like 20% of households with children, or 25% of children (plus another 5% are raised by some other guardian, so likely also a welfare situation). That's again where we're getting into unrealistic territory (not to mention the terrible incentive). Across all of your groups, you're basically saying half the population should be taken care of by the other half.
A more pressing issue is why are a quarter of children raised by single parents? Even if they were completely taken care of economically, that's still a disaster.