Followup to: Why is there no combadge lag on initiating inter-personnel comms?
Many misunderstood the previous question, so I'll try to rephrase it.
Sometimes we see Riker's perspective: his badge blips and it says "Picard to Riker", and he answers "Riker here".
Sometimes we see Picard's perspective: he taps badge and says "Picard to Riker" and the immediate answer is "Riker here"
Previous question:
Until Picard has said "Riker", the system can't route the call. It would have to record "Picard to Riker" and replay it. Riker must start hearing "Picard to--" after Picard has finished saying "Riker". So, from Picard's perspective, there must be a delay, at least as long as it takes to replay "Picard to Riker", before Riker could possibly answer. Why isn't there a delay?
(Alright, so, everybody got that? Good! Out-of-universe answer: because nobody cares. Realistic Diction is Unrealistic, as TV Tropes puts it.)
My question:
Starfleet doesn't have a monopoly on communicators. Is this particular time-skip phenomenon ever shown on-screen, other than for Starfleet?