A central bank digital currency is the sovereign liability version of a token: the central bank's own instrument, programmable and direct. A stablecoin is the private version: an issuer's liability backed by reserves and redeemable on demand. To a payer they look similar; to a lawyer they are different animals.
The practical differences are issuer risk (a central bank cannot run out of its own currency; a stablecoin issuer can fail), privacy (CBDC designs often carry identity at the ledger; stablecoins carry pseudonymous addresses), and reach (stablecoins circulate globally today; CBDCs are mostly pilots).
U.CASH lists reserve-backed stablecoins from regulated issuers, each with its regulator named on the asset page, and prices them from the fiat side of their peg rather than a pool.
Every term behind the rails, the assets, and the settlement.