Yes, that is the only reason I can imagine right now why governments would create their own stable crypto currencies. The issue with fiat is that it's not traceable, as it's just paper, being the favorite method used for criminal activities. If crypto currency is enforced, these activities tend to decrease or to be easier followed by authorities.
Another justifications such as crypto being a safer and faster payment method don't make sense, because our national currencies are already very safe and fast when doing virtual payments, due to their centralized nature and system.