The opener sets Switzerland against "the United States" and says the difference is who decides whether force was allowed, not how many guns exist.
Then section V lists "many US states with strong self-defense protections" as the same design as Switzerland. Section IX still calls "modern America" chaotic for trying to monopolize who may use force.
The same country is the recommended class and the chaotic pole. The rules are not identified until those are different objects.
The chaotic specimens are named cities and a border, not a castle-doctrine state. New York charging Daniel Penny, San Francisco and Portland tolerating retail theft, the US/Europe border. Those are the sites where the page says the state is harsh on people who intervene and lax on predators.
A state with castle doctrine can sit inside a country that does that in its cities. The claim is about those sites, not about the federal average.
Then the paradox is not armed-Switzerland versus strong-state-America. It is Switzerland versus a handful of American cities, while other American states are already filed with Switzerland.
The opener's "most powerful state apparatus in human history" is the wrong object. If the rules are the difference, a US state that already has the recommended ones should look like Switzerland on the page's own test — people not spending their days on defense. The page does not show that row. It shows Switzerland, then America-as-chaos, then "many US states" as the fix that is already in place.
Name one US state the page would count as the Swiss design: a clear self-defense rule, citizen's arrest, courts that actually decide afterwards whether the force was allowed.
What would count as the rules doing the work: that state's cities looking like the Swiss peace the opener uses. What would count as the rules not doing it: the same rules, and the same daily defensive grind the page attributes to anarcho-tyranny.
Until that row exists, "many US states" cannot be evidence for the design and "America" cannot be evidence against it.