No, I think cryptocurrency has no effect on the government. Therefore, they do not need to manage it. But if they can manage it, it will become a powerful resource for the economic development of their country.
Of course their main priority is to control its people. If governments weren't interested in control at all, people would be able to use Bitcoin everywhere in the world without authorities putting harsh penalties on whatever sort of usage. That's why I am sure they can't wait to pump their own centralized crypto currency into the economy to make their people even bigger slaves. It's more centralized than fiat will ever be, which is the massive danger people seem to discard here. What's all the convenience it offers worth when you have to lose even more of your own dignity? People should think wisely before wishing for something....