The DAC is doing the exact same amount of processing whether the incoming signal has jitter or it doesn't. The DAC operates exactly the same either way. The DAC doesn't have a circuit that detects jitter or noise and then "does more work" when it detects it.
@herman I’m not going to go track down sources for this here and maybe someone else will chime in, but there are plenty of references out there that will show DACs sound better when fed a higher quality signal with lower noise/jitter, which is largely what a DDC does. Just because you (or I) don’t understand exactly why that is the case doesn’t mean it doesn’t exist, and the fact that both you and I (and scores of others here) have experienced positive benefits from adding a DDC is pretty darn good evidence that feeding a DAC a better signal has material benefits. If it’s not because the DAC works/sounds better with a lower noise/jitter signal from the DDC they why else would that possibly be?