Lawrence Summers, the former United States treasury secretary and former chief economist of the World Bank, argued that the current fiat monetary system exhibits issues of too much privacy, advancing that a CBDC should seek to facilitate greater oversight capabilities.
https://cointelegraph.com/news/can-central-bank-digital-currencies-protect-individual-privacy
As you said those banks are Central.
Thus, it cannot protect fully your privacy as those coins are going to be centralized and not decentralized
So with only this criteria you cannot say that your privacy is going to be protected.