The USSR under Khruschev tried something similar: they were worried that people were becoming stratified: university-educated people would send their children into universities, factory workers would send their children into technical schools. Surely in a perfect world the demographics of university students should reflect the demographics of their parents' generation?

So, a lot of restrictions and quotas were added to get these working-class children into universities. A couple of years after the first batch graduated the program was rolled back. Soviet scientists started to complain, because diversity and equity be damned, the quality of the graduates cratered. If you want to be able to rain nuclear fire on the USA, you need the best and the brightest working in your research institutes.