That's not what will happen. People will discover the joys of gaming the socialized medical system, just as others in socialized countries have done.
This will involve (not in any particular order)
Bribes (your doctor, hospital, druggist, politician)
Medical tourism (running to Mexico, or other places to get things done)
Mafia (physical threats against doctors, politicians, etc. to get things done)
Emmigration (going to live in other countries who will provide services for family members who get sick)
I think there will be big money to be made in investing in hospitals in Costa Rica, the Bahamas or even on ships outside the three-mile (or is it twelve miles now?) territorial limit.