If I’m remembering correctly from years ago, I think John Elway used to punt some. Not sure if it was 3rd or 4th down situations though.Dodd was an advocate of punting on third down. I think he even did it in the last game coached.
You don’t see quick kicks much anymore which used to be a formidable weapon. I guess in the age of high powered offenses you don’t want to lose your turn at bat and field position football is no longer a thing.
But I honestly think that some teams that are pinned inside their own five yard line and have a 3rd down and 15 might do better to punt on third before the other team figures it out.