I had no clue tbh, I've never watched golf in my life. But why'd you say that the U.S. has a larger population than Europe?
I've always had that impression, I was very sure that USA has at least larger population than European Union. But I cheked it, and you really don't have.
(that's for me)
But I'm sure USA is quite equal to Europe in golf, USA v. Europe is fairer situation than e.g. the original Ryder Cup situation USA v. Great Britain & Ireland.