Too many different interpretations in what after all are quite simple laid down rules about what can and cannot be carried on board an aircraft...... I gave up a long while ago getting frustrated by the fact that I was told to carry my rods, and reels on board internal US flights, but on international or internal flights, this was a strict No No as far as flights out of or between UK airports were concerned.
For the last 5 or 6 years now, my reel spools have gone as hold luggage and the reel cages go as carry on luggage.....Do this mainly to assist with hold luggage weight restrictions, which are getting pretty stingy, especially on internal USA flights.
Oh and taking a printed set of these rules and waiving them in front of an official who has just stopped you, I promise you, is not a very good idea, and definitely DOESN"T WORK