You are more right about your former point then you realize. Even in a perfectly fair economy where all the players are equally skilled, statistically the wealth will gather in fewer and fewer hands after each fair and equal transaction.

I disagree with your conclusion though “choose freedom”. In an unequal society, those that have will have control over those that have not. Meaning the freedom you speak of is only available to those that are lucky in their earlier transaction (or more realistically those that inherit the most).