That's what the term means. It's an unavoidable monopoly. You can always go to a socialist country instead if you can get a passport in time before you die.
Monopoly is not unavoidable. If this is the case, counties and dynasty will last forever rather than fade into history and being replaced by a better managed country/dynasty.
Very true. Many monopolies only last a few normal human lifetimes. I'm glad your immortality is working out for you.