In addition, if the CBDC replaces cash, there might not be a way to avoid the central bank taking your money. This is how they could implement negative interest rates, which could be used to prop up asset values.
Or they could use negative interest rates to reduce the supply of money as the richest members in society no longer have guaranteed automatic accumulation of their wealth.
The richest members of society already don't leave a large portion of their wealth sitting around as cash. Cash would be even more avoided if there were a realistic prospect of negative interest rates.