The fiat money will flow from traditional to bitcoin system slowly but surely.
That's what a group of people in the world are doing when people will take the alternative to the traditional system with the currently developing centralized system model.
Soon you will see, as you said, the traditional fiat system is starting a new chapter: blockchain and cryptocurrency.
Maybe many people ask about this. The existence of digital currencies that are increasingly having value, with that all of its existence can change with the times, it can all happen beyond our expectations.