Training, and other environmental factors, can be measured and thus improved. Genetics, no so much. At least, not with current technological and ethical frameworks.
If you try to measure "the bucket" by measuring the "water", you are essentially committing circular reasoning. Remember, you have no evidence that this bucket exists, it is only a hypothesis. You cannot test that hypothesis by assuming the hypothesis is true!
There could be other reasons for children to hit their academic limit, you cannot just give them a test and assume any variations are due to genetics. You can try to control for class, age, field of study, etc, but what about family, culture, personality, study method, peer influence, etc.? You will never be able to find two kids with the exact same environmental influences so that you can say with confidence that any variation is due to genetics.
On the other hand, you *can* find two kids with the exact same genes and compare environmental factors. There are lots of twin studies that do this.
With our current technology and understanding, the influence of genetics on human behavior is a lot like dark matter: we know it exists (at least according to our understanding), but we have no idea what it is and how it interacts with the universe.
I am not sure what you are disagreeing here. All I was trying to say is "both genetics and after-birth training matters, neither of them can be dismissed".
Regarding the "bucket", I disagree with your assertion of it being circular reasoning. First of all, it is not what I proposed, I only made that statement because you brought it in for a practice of debate, so I continued with it to illustrate the other perspective.
Secondly, let's continue with the "bucket" hypothesis. If you take in statistically enough number of people, and push all of them to the limit in a determined competition, and you must assume all of them are doing their best, given the data collection long enough time, couldn't you make some conclusion from the statistical results? Remember, statistic is not about individual accuracy, it is about amassing enough data to make a directional hint or indication of probability. It is still scientifically reliable although not rejecting deviations and exceptions.
I agree with all your counter arguments being true within their contexts, but I only disagree of your seemingly denying genetics playing any role.
After all, that denying is at odds to human evolution which is my firm belief.
Now I am back to sport specifically. Nature made all of us looks in a certain (different) way, how could it not be a fact that nature also make us walk and run in a certain (different) way? And how could that different way of walk and run not making a difference in sport?
In human evolution, our ancestors were white skinned in Africa before they shed off their long thick body hairs. They then acquired black skins under the torching equatorial sun light. Then some of them walked out of Africa and ended up in northern Europe and northern Asia and acquired lighter skin again. All the individuals with the "wrong" skin colors got killed by mother nature, not by racist. If one accept that assertion as scientific fact, one must also accept that the difference of our body shape and size, muscle fiber structure, blood cell capability etc. among different regional groups are determined by mother mature, so we function differently depending where our sub-ancestors eventually settled.
Pointing out these differences and their impacts is not to justify any evil idea and ill treatment of other brotherly human beings. But simply rejecting it for political correctness is not rational. I hope you are not basing your idea on political correctness, if you are not I don't mean to accuse you of being so.