Earlier quoted context omitted.
Yes. Just the same as generational wealth in the real world. The problem with meritocracy is that ocracy implies some power over the system and in a true meritocratic system the first generation would corrupt it to help their kids. Meritocracy is an oxymoron because the difference between equality of opportunity and equality of outcome is a gradient, not a line.
Doesn't the Law of Large Numbers imply that equality of opportunity and equality of outcome are one and the same thing? Or to put it another way, how do you measure "equality of opportunity" if not by "equality of outcome"? If your theory of "equality of opportunity" differs from the measured "equality of outcome", doesn't that automatically mean you've omitted some characteristic of the real world from your theory?
Many aspects of our societies have lottery-like qualities.