No, it wouldn't. Unfortunately, or fortunately, I don't know, those will always be living, probably digitally in a decade or two.
It's very simple, if Bitcoin at some point reaches a value of $10,000 per coin, and fiat becomes worthless, then the value of $10,000 that Bitcoin at that time has, will also be worthless.
From that point of view you should hope that fiat will never become worthless.
But then again, fiat, and especially the US Dollar, will always have a certain value even though fiat is losing value every year. The US government will make sure of that.