Because CBDC is indeed controlled by the government, it is impossible for us to make something more valuable, because its value depends on the exchange rate depending on the fiat of each country.
The price will be relatively stable.
The worst thing about us is to be misleading ourselves, Fiat is not stable, I do not know why even cryptocurrencies pegged with Fiat should be called stable coins. As of today, there is no stable coin. Fiats are totally subjected to central control which are the governments, the governments do no two things to Fiat than to depreciate the price as always, this is even worse in developing and underdeveloped countries.