@Lana
This works if you replace "rich kids would eat free" with "rich people would get free health care" too. As soon as there is a two tier system the rich will ensure that their tier hoards all the resources at the expense of everyone else.

We know this in Australia, where the universal public health system has been eroded by decades of conservative and faux-liberal governments who have pushed people to take up private insurance, creating a two tier system