Your conclusion is correct, your numbers are not - the spending gap is much higher (which supports your point even better)
US spending is over 18%, almost double the cost in France. Even the oh-so-expensive Switzerland spends ~12% of its GDP on healthcare.
https://www.statista.com/statistics/184968/us-health-expendi...
https://www.reuters.com/article/us-health-spending/u-s-healt...