The upshot of Nozick’s thought experiment is that we cannot determine whether a distribution is just simply by checking it against a preferred pattern (for instance, that no one makes 800 times the median income); what matters is whether someone acquires income via voluntary transactions.
When Nozick published this thought experiment, Chamberlain — the world’s best and most famous basketball player — was making 20 times the median income. Now every player in the NBA earns that, and there is a player on each team making 800 times the median.