Lets get things straight - I don’t believe in it completely. The main advantage is that the State sector will provide major hospitals in rural areas - areas they may not make profit for the private sector. In that situation people are getting healthcare close to home.
There are hospitals in rural areas here in the U.S., too.
Even if there is no hospital in a particular rural area, it would be possible for the state or local or even federal government to enact a plan so that a hospital is built there. That can be done without the entire medical system being placed under government control.