I think it might be possible. But not as fast as you think. It still takes a lot of time to be like that or become a national treasure. And I hope bitcoin will be like that.
It is impossible, however much we like it.
States with a strong economy will never take such a step. If "gold" becomes digital, it will not be bitcoin, it will be a crypto currency created by the government (or several governments).
Bitcoin will not become a national treasure because:
1. it was developed by an unknown person
2. it is not clearly understood for what purpose (the true goal)
3. the possibilities of managing by the creator aren't fully understood