To politicians and the people who want to believe them, perhaps. But I wouldn't hold my breath actual economists would line up behind that. And with health care, it's quality that's important, not saving a few dollars (which ends up being penny-wise, pound foolish as health care tech is slowed down.)
Therein lies the rub. Most "systems" make it illegal for you to go get your own health care, under the discredited notion that "this here town ain't big enuf for the both of us." It's the same thing that leads governments to establish nationalized industries, outlawing any competition. And, of course, denying people the freedom to leave a "system" and go pursue business with other free, independent people is not what a free country is supposed to be about. If the government's "system" is so great, they shouldn't have to force the competition out of business at gunpoint.