I understand your point, but for the olympics in particular you are saying something different: that someone's training and environment and opportunities in a particular country are meaningless.
Given how many Olympians abandon the country they represent to train, it is somewhat meaningless.
Seriously, if there's one thing I've learned from watching the Olympics, it's that many of the successful ones are enabled by their ability to move away from their place of birth, well, that and good genetics.