Citing chess directly contradicts your thesis about "innate talent".
In chess, the Polgar sisters are proof that training is the key and not genetics. The increasing existence of younger and younger chess grandmasters distributed around the world also shows that it's more about training than "innate talent".
Football and basketball do have a "innate talent" component--at the highest levels the competitors are genetic freaks.
However, any human endeavor not relying on pure physicality does not have "innate talent" limitations. "Talent" is almost always correlated to "early training" and "hard work".
Look, I don't have a dog in this fight but the idea that the Polgars "prove" that training is more important that genetics doesn't make sense. Evidence maybe, "proof" is just a silly assertion.
They were all born at different times and had different experiences and have different genes!
Here on HN folks are always going on about genes with confident assertions but the number of people that understand the difference between "heritability" and "genetics" seems to be very small.
"Football and basketball do have a "innate talent" component--at the highest levels the competitors are genetic freaks."
This is not a thing you have actual evidence for, and there are players at the highest levels of these sports that don't fit the mould of what you would expect it takes to succeed - it is too broad an assertion.
Even those that you assume "just have it" most likely just have enough means and connections to try and fail and eventually succeed than most of us.