Governments will not create their own cryptocurrency, because it is difficult to provide a common cryptocurrency rule for all countries as well as changing the value from fiat to cryptocurrency.
Countries are already working on their own cryptocurrencies. The process of their implementation will definitely take time for legal reasons, because they will be centralized. However, the complete replacement of fiat money will be difficult for a long time.
Nope, I think the government will continue to manage fiat or their local currency alive because local currency means many things to describe their country's economy, there are many things why fiat continues to survive and I don't think that the state will make their own cryptocurrency, while they want centralization