The real question is when you say "lose it's value", what are you referring to? I ask this because most people conflate Bitcoin's fiat price with its value and those two aren't the same thing. Bitcoin's value imho mainly comes from its censorship resistance, PoW, and its 21m limit. The fiat price is the toll to exit the fiat system at a given time, but that's not its value. In short, your thought experiment is on the right track.
The real question is when you say "lose it's value", what are you referring to? I ask this because most people conflate Bitcoin's fiat price with its value and those two aren't the same thing. Bitcoin's value imho mainly comes from its censorship resistance, PoW, and its 21m limit. The fiat price is the toll to exit the fiat system at a given time, but that's not its value. In short, your thought experiment is on the right track.