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It would only be a temporary fix. Robert Nozick gives the example of the famous basketball player as a critique of John Rawls’ veil of ignorance argument.
Suppose everyone had equal wealth but we remained different individuals with our own personalities, abilities, etc. For simplicity, assume everyone has $100 each and there are a million people in total. Now suppose one person is actually a legendary basketball player (Nozick uses Wilt Chamberlain as an example) and he decides to play basketball in the NBA to entertain everyone else. But he doesn’t do it for free, he charges each person $1 for a ticket to see him play.
If everyone pays to see him play basketball, he becomes a millionaire while everyone else becomes $1 poorer. In effect, the balance of total equality has been broken.
How do you solve this problem? You might say that he’s not allowed to charge $1 for people to see him play basketball but then what you’re really saying is that everyone is not allowed to spend their $1 to see a basketball game. So it’s actually not possible to preserve the state of total equality without taking away people’s economic freedom (that is, the freedom to decide how to spend their $100).
Thus you either gradually revert to inequality or you make all money worthless by taking away people’s choices on what to spend (and so you might as well just have a ration system instead).
Economic freedom in this example is pure nonsense. I don't want the freedom to overpay for something. The price point is also completely unreasonable. There are alternatives that could be implemented, like setting limits. Your example has a clear goal of promoting a certain world view that the existence of slavery is what makes us free. If that's not a paradox a don't know what a paradox is.