Yes. Addressing the DAC part of an audio system, IMHO you are quite correct that the right architectural principle is that it should be as immune as possible to data timing errors (jitter) and to electrical noise on its signal and power inputs.
Looking through the test archives on
www.audiosciencereview.com (and I recall one very expensive DAC measured in HFN) it is clear that some DACs are certainly
not immune enough. So you can't yet rely on good engineering without checking. If you have one of these examples you might find that the streamer or some tweaks to cables or PSU have an impact.
However many measurements from Stereophile, HFN,
www.audiosciencereview.com, the Archimago blog, etc. can be found of even inexpensive DACs that do not pass on significant jitter to the audio output, or noise from "noisy" streamer sources such as USB. This evidence says to me that
good DAC engineering is perfectly possible and does not need to be costly.
From my PoV, the art seems to be to discover ways of finding out which DACs are not well enough engineered and avoiding them, then selecting from the good ones according to personal preference.