This has been beaten to death over the years. IIRC, and I may not, Mike Venturino listed examples, in one of his articles or books, of the 45 Colt being called the "Long Colt" back in the old west era. I think he also may have found examples of cartridge boxes so designated. To me, that settles the issue. The term was evidently in usage on the frontier, how commonly, I don't know. I have always preferred "45 Colt" myself, because I'm not into drama, but that's just me. Either term is fine.
Exactly. There is enough proof that over the many years of the 45 colts existence there has been a need to differentiate between two case lengths that may or may not fit in the 45 caliber gun you have.
What some people find to get overly agitated with ...
