But if we're serious about a liberal/conservative "equality of opportunity" vs a progressive/socialist "equality of outcome" reality, then we should consider that children have very little consent over the kind of education and familial upbringing they get, yet that childhood education and familial upbringing has profound implications as to whether they can get admitted to a school like Harvard or not.
If we're serious about equality of opportunity society, then we should take a lottery admissions policy for young adults seriously. But it's fine if you don't care about equality at all, at least be explicit about it.