So you are saying that there were relatively few poor peasant boys; and that even so, they consistently outperformed the descendants of those selected for intelligence?
You are doing a fine job of showing how badly flawed your arguments are here.
You simply do not like what I am saying. In all civilizations intelligence had led to upward mobility. However for two thousand years it did to a greater extent in China.
I don't like what you are saying, because your conclusions are exactly the reverse of those supported by your premises.
You provided the scenario, and the observed outcome. The logical conclusion I drew from what you provided is opposite from the conclusion you drew. We can't both be right.
Civil unrest has played less of a role in the history of China than in practically every other nation. It is not the case that exceptionally intelligent Chinese were singled out for extermination. The usual pattern has been for one dynasty to follow another fairly quickly.
For two thousand years the Imperial Exam System enabled young men who could pass the exams to enter the Scholar Gentry. Those who could were given generous incomes, and expected to have several wives, and many children. The Imperial Exams were open to Chinese men from every class and income group. Now of course, those born into the Scholar Gentry were more likely to receive the right education to pass the exams. Nevertheless, in every generation poor peasant boys took the highest honors.
1) - The Imperial Exams were open to Chinese men from every class
2) - those born into the Scholar Gentry were more likely to receive the right education to pass the exams
3) - in every generation poor peasant boys took the highest honors.
From 1 & 2, we can assume that, excluding any role played by genes, those born into the Scholar Gentry would be likely to take the highest honors.
If we then add your hypothesis - that the children of the most able scholars will, over time, show a further advantage due to genetic selection - we can see that this effect will be further enhanced, and the prediction of your hypothesis is therefore that in later generations, those born into the Scholar Gentry will be increasingly likely to take the highest honors.
But, according to you, in every generation poor peasant boys took the highest honors.
So we observe that the hypothesis is not supported by the evidence.
Whether you or I like it is irrelevant; YOUR information clearly indicates that your hypothesis is not supported.
You can either drop it, modify it, or continue to be wrong. What I do or do not like doesn't change the fact that those are the three options open to you at this point.