It wouldn't be free of other, and likely worse, monopolies on violence.

I've been to too many places without effective government to have any trust in what you call a "free society" to be able to exist for any significant length of time without being corrupted. It only works if everyone behaves, but not everyone does (fact), hence you require violence (or at least the threat thereof) and because of the extremely strong network effect of violence you're back at square one: a monopoly on violence. It's the reason this "free society" does not exist and never has existed.

Don't get me wrong, I would absolutely want to live in such a free society, I just think there's a zero percent chance of it happening, at least with humans 😅