The problem with the healthcare system now is that it is neither universal nor free market. Too heavily regulated by the feds, there is no real free market competition for services, and unlike any product that can be purchased in a free market, you don't know in advance the costs of what you are purchasing. Interestingly, in newer areas of surgery where we don't see such stringent regulations, such as laser eye surgery, there is actually competition among the practitioners, so we have seen the costs for such surgeries reduced dramatically over the last few years. I would prefer much less regulations than we have now.
I am not clear though on how a more socialized health system would have prevented a shutdown of the economy and job loss, as you seem to suggest that the current health system allowed.