Wrong or at least not as rare as you might think Hoss. Quite often they in say making an arrest on something that is clear as day and doesnt need questioning might skip it until you are in the jail. Or depending on the crime the beat cop isnt going to question, an investigator later will Miranda and ask questions. Examples might be a drunk in a fight, or I'm pretty sure some of the mass shooters taken live were not getting questioned by a street cop.
Keep in mind as long as the cops questioning didnt evoke statements, anything the person says pre miranda is ok in court if it's a "spontaneous utterance". And not just "talking" is interrogation. People arrested often can be chatty, and yes the cop does need to be careful in not asking questions that might give info that becomes tainted. Was a common topic in my wasted Bacherlor's degree with multiple former cops and my favorite 80 something your old former state senator who was a lawyer in the days BEFORE Miranda. Was interesting perspective.