I like how you took it further. I agree that there may be fewer rules in interacting outside of such a dojo, but there are still some rules. For example, laws governing self-defense that often say people cannot respond to a push by beating the person to a pulp with a bat, lest they get charged for assault and maybe more. And beyond law, just norms on how we agree people should or should not fight fairly.
So I think there is a spectrum from all rules to no rules and that most, if not all, places of human interaction have some level of formal and informal rules on how we expect others to behave.