Its common in analogue circuits too. ie: Audio is delayed during processing in VCR's and TV's , but the video is not. Since the video signal path is longer than the audio path, a delay is required to "resync" the two at the output. For example, if it were not, the sound would appear before an actors lips moved, by just enough to be distracting.
This is actually an entire field of engineering almost on its own, since it has effects on all signal transfer, from telephone, to computers to wireless.
Not really your answer, but food for thought.