We're quibbling about terms, and I always fear at this point in a thread that the need to be right might overwhelm continued reading comprehension. But in economic parlance, if (let's say) a power company came to be a dominant monopoly in a given area without government support, that would be a natural monopoly. If the government then stepped in to regulate the power company as a utility and simultaneously excluded competitors by government force, the power company becomes a coercive monopoly. Is it still a natural monopoly? It's hard to say, because conditions change, but the government grant of exclusivity remains constant. Maybe a new technological innovation would have let a competitor emerge, breaking the natural monopoly. But we would never know as long as the government continued to exclude competitors by force of law.
We may just be disagreeing to disagree at this point. I'll let you have the last word here.