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I’ll dig up more sources but you compared public spending on childcare (which is minimal in the US) to private long term care costs.
The average cost to raise a child to age 18 is $310,000.
https://www.investopedia.com/how-much-to-save-for-college-4782579
How many days of intensive care is that? The resources we spend trying to keep dying elderly people around just a little bit longer are insane.
End of life care averages $80,000
https://www.thelancet.com/journals/lanam/article/PIIS2667-193X(22)00176-4/fulltext