They won't use it if it's offered for free, either. I know personally of a situation where an illegal had health benefits, but lied to Social Services (don't ya love the name...) about her employment, and was put on welfare. She used Medi-Cal, so Cali citizens got to pick up the tab.
See, there are these pesky CO-PAYS that eat into the beer budget...
Co-pays with the private health care, I mean