There is no free market health care option; a true "free market" would allow poor people to die.
However, the Republican party is wedded to an antiquated ideology that the free market is king - believing that cutting taxes is a universal solution (even though trickle-down economics has been shown to be a joke) and reducing government interventions - whether for protecting the environment of keeping people alive - are always anti-freedom. So what happens when someone is lying dying following a road accident, and has no insurance? Do the paramedics simply leave them?
Even staunch conservatives (well, most) have a morality of last resort - don't let the free market kill. That's why America's new health care system falls back to pre-death coverage as their only real consession to counter a truly free market.
Paul Ryan's proposed wealth-care system is then an object lesson in why ideological positions can lead to harmful consequences - but if it doesn't directly affect the self-interested (or their chosen demographic "family") they can shut those bad consequences out of their minds.