This is broadly correct, but note that the only way to get perfect equality of opportunity is to have no opportunity for anyone, because if people have the oppo

This is broadly correct, but note that the only way to get perfect equality of opportunity is to have no opportunity for anyone, because if people have the opportunity to build up wealth that their children can inherit, then there will be unequal opportunity in the next generation. (And preventing people from passing on their wealth to their children in any way will destroy their motivation to work).