Great analogy
Money is a living power that dies without its root.
Fiat’s root? Violence.
Bitcoin’s? Energy and math.
Discussion
It's not even an anology. How is an otherwise worthless piece of paper, worth something? By enFORCEment of its use. People not accepting it will be punished - violence. If it was really intrincially worth anything, you wouldn't need to use force. People would naturally accept it for its value.
Bitcoins value is to be non-enforcable, and still trustable.