That solves the liquidity problem… kind of… by going full retard on fiat - but doesn't exactly fix pricing… at all.
Banks start stuffing fiat into assets (or someone down the hole does) and that inflates the assets, which then needs liquidity to service, which triggers more helicopter money.
The CBDC doesn't fix this, it just complicates intrabank trades by turning everything into a fed wire transfer.
In time, maybe they could do more fun things with it like modify your purchasing power according to how many times you like the wrong things on faceberg (or refuse to participate in faceberg)… but you couldn't ever regain control over pricing by using QE infinity with a CBDC…. and if you can't do that, you'll just get replaced by something that can actually facilitate economic exchange.