It will be established one way, guided by the premise that praxeology and mutual exchange implies. And yes ofcoarse it will all happen on the market via your spontaneous order. Bitcoin(Or anything like it) will not be the successor of the US dollar. Even if government dissapeared over night.
Honestly why don’t you just read the Regression theorum prior to denouncing it? It looks real bad when you aarogantly talk about a theorum you know nothing about.