Caveat that I used to be into Objectivism but now would say I'm extremely unsympathetic to it as a project. I don't think it's so odd that a philosophy would venture into economic systems as part of the course to staking out moral axioms and preferred conditions of relations between people. I'm not laissez-faire by any stretch, but there are such things as economic philosophies that wrestle with questions of liberty. Economics is a very philosophical subject, and moral, political, and economic philosophy can become quite entangled, for good reasons.

While I think your math example is basically right, it would be surprising there, I don't think economic order emerging out of moral and philosophical reflections is particularly surprising.