The American idea that health care is a privilege you have to pay for will hit a brick wall when you deal with a pandemic which does not give a shit about how rich or poor you are.
With a minimalistic welfare state, lower class people will be forced to go to work and will not afford having health checkups. That will risk spreading the virus and cause more fatalities.
What happens when private hospitals have to take on lots of patients who cannot pay? Will there be a race to the bottom trying to push patients over to other hospitals, dump them off on a curb as soon as possible?
I cannot see how a relentlessly profit driven health care system can cope with a serious pandemic.