This line falls apart because people will rightly argue over what is a sport. If we then include chess, then why not programming? Or education in general? Education is not competitive, but we can compare and rank.
In the end it all becomes a horrible mess.
In then end I tend to think the genetics must have an impact all over society and culture, and, well, that's that.
1. Chess is a game traditionally considered to be strongly co-related to IQ (which is strongly heridetary), but a survey of Grandmasters find that they have generally average IQ. What they did have a lot of, was years of experience and dedication, and also probably very good memories.
2. Basketball is a game where height (which is also strongly heridetary) is very important (the average height of a NBA player is 6' 7"). What are the odds of a man who is 5' 7" becoming a great world-class player? Sure, you could name some guy who fought all odds to rise to the top. But the key word here is odds, and genetics plays a huge role in stacking up the odds.