Mark, if there is a standard it is news to me. I have heard of, tip-to-tip measurement(TTT), around the outside curve(ATOC), Long Axis(Out side curve) and Overall length(Tip-to-tip). I think the Tip-to-tip gives a person an idea of how the horn will fit a bag, if they do not have it in hand. I have started giving both TTT and ATOC measurements. I do measure to the end of the finial but do not add the stopper in.
Tim
Reference: Bone Tipped & Banded Horns, Dr. Jay Hopkins Vol I pg.6
Pennsylvania "Horns of the Trade" Screw tip Powder Horns and Their Architecture,
Art DeCamp Introduction pg. XXIV