"Number of procedures per capita per year" is a horrible measure. It assumes that procedures done is a good proxy for overall health, which it isn't. Public health (clean food and water, trash pickup, promoting exercise and outside activities, cutting down on smoking, etc) is also important.
Here's a scenario. Country A and B are identical except that country A has pushed for potable water and B has not. As a result, 10% of the procedures in country B are from dysentery, cholera, and other water-borne diseases which are relatively cheap to treat (keep hydrated with a solution of salts and sugar). As a result, country B has more doctor visits per capita, and on average these costs are cheaper than in country A. Country B also has lower life-expectancy, more days sick per year, and other measurable outcomes.
By your definition, country B has the better health care system but I think most people would prefer the overall health of country A. Therefore your measurement is not so useful as an indicator of overall health outcomes.
