Earlier quoted context omitted.
Top school is also serving as a proxy for wealth and privilege. Good grades are also a proxy for wealth. Kids who have rich parents get private tutoring.
Wealth also correlates with intelligence. Intelligence is mostly determined by genetics (studies show ~70% to 80%).
But there does seem to be a correlation between IQ and income. https://thesocietypages.org/socimages/2008/02/06/correlation...
This latter correlation could be explained by the wealth of the parents, as IQ may be a cultural artifact and income is correlated on education.