Many countries including Venezuela, China, USA, Russia and others are planning on launching their own cryptocurrency since the growth of Bitcoin has caught the public eye.
There are so many countries in the world and we have not seen the first cryptocurrency that is issued by Central Bank yet. If would be profitable as they could get a large share of the stablecoin market, probably. So they don't really want or can't decide what they want.
The dearth of privacy in CDC, meaning that the government and anyone in the system can view the transaction details while controlling and denying it if they want is probable. Governments, possibly insecure of their future in the national economy, due to the mass adaptation of cryptocurrency have decided to join the game.
If anyone in the system is able to view the transaction details, then surveillance goes both ways, right now any government can confiscate bank account and cash of its subjects and usually not many persons know about when it happens.
If this state issued cryptocurrency allows to freeze accounts, and if they do it, then this will be public information.(unless the cryptocurrency is total fake with the purpose that a blockchain merely records transactions made through a central authority)