That said I’m being a bit pedantic as the specific design of USDD (as well as UST) has that property since the collateral is correlated to the stablecoins peg. So you’re correct in this specific case though not in general.
The point is that the ability to maintain the peg is the only important value of a stablecoin, if this is brought into question it will be tested. Once it is tested it will either hold, thus 1 or fail and reside permanently at 0. The exact implementation of the peg management - human, algorithm or otherwise doesn't change this fact.
In other cases the primary use case can be to provide liquidity for a product or service. In these cases, a strict 1:1 peg isn’t needed as the product essentially goes on sale if the stablecoin’s value falls. Of course the merchant needs to be locked in to the stablecoin as the sale mechanism for this to work.
(lol)