A partial truth, but not relevant to justifying a free society politically.
Why not?
A free society respects and protects freedom in many domains: religious liberty, artistic freedom, romantic liberty, economic freedom, and so on.
Take the first—religious liberty—as working example, and apply JA’s criteria, saying: “You should have religious freedom because you are fallible, inconsistent, etc.” Or: “You should have religious freedom because other people are fallible, inconsistent, etc.” How strong is that justification?
Contrast: “You should have religious freedom because your beliefs about how to live your life are your responsibility.” How strong is that justification?
It’s true that humans are fallible and free societies are better at correcting our cognitive weaknesses. It’s also true that humans are amazingly smart and free societies are better at leveraging our cognitive strengths. Yet those are secondary to justifying our political rights to freedom. Whether you are smart or foolish, your life is yours to live as you decide.