Not really, when the world economy goes south, they become so encumbered by debt by the obligations, that they have to ration as England and others did. Secondly, government managed health care is not even on par with American medicine, which is state of the art worldwide. From the Mayo to the University of Michigan, they come from  over the world to America for specialized medicine because their countries can't compete with American medicine. 

When Chernobyl hit, they had to send American doctors because they hadn't the ability to do bone marrow transplants. Socialist governments like HMO's refuse to pay for advanced experimental medicine because it's cost and it's outside their box of ability, thus it makes medical advancement hobbled and stagnant. 


Today America doesn't even accept foreign medical credentials, they have to go back to school and get re-certified. We have the most advanced medicine in the world all the world comes to, why? Profit motivates, and medicine advances.