I know nothing about how the financial side of European hospitals work though... but I assume they still have internal costs that are tracked and tallied. Your kids' deliveries may not have cost you, but there was a total cost somewhere in the system. It probably wasn't anywhere near $38k, but even that isn't a fair comparison due to the substantial differences between the medical systems and the way indirect costs could be covered.
(I'm not trying to defend one system or the other, just pointing out that the systems are different so direct comparisons like $38k vs €0 aren't that straightforward. It gets even less straightforward when you factor in the US medical insurance system.)
This was a few years ago so the prices may have changed.
But, I think the main question I was trying to get at is -- how much are the French (or Japanese from a different thread) hospitals subsidized by the government. I expect for there to be indirect costs that might have to be covered by direct billing in one country, but not another. For example, electricity bills (or the cost of the building, etc)... is this covered by the 1000€ bill, or is is paid for by some other means? I recognize that US hospitals also get some level of subsidy, but there are hidden costs that aren't always apparent.
This is what I was trying to get at... that direct comparisons of costs aren't always that straightforward when comparing different systems. A 2000€ or $2000 bill might represent only a fraction of the actual cost of treatment. And given the opaque nature of heathcare billing, it's very hard to know.
I simply believe that not becoming broke by a scheduled or unscheduled medical procedure is a human right and it's realistic to achieve. I'm not saying it should be free - I pay quite a bit of medical insurance to the state, but it's mostly transparent as it's included in the income tax deductions.