It would also all but entirely nullify a major chunk of government power and control. If a nation is unhappy with the economic direction of their country they can inflate or deflate the monetary supply, manipulate national holding rates, and more. Or take 'offensive economics.' If a nation wants to attack an individual, group, or even another country assets can often be frozen. And we haven't even gotten into the implications this would have on the international banking system.
It's funny in a way. You just don't know if you're on the doorstep of a complete shift of era in economics, or if you're just watching another boom bust cycle. One's certainly much more likely than the other, but if I had a major vested interest in one outcome over the other - I'd certainly be looking to take proactive action to try to ensure it.