TRGOD36, does the top of your brake look like the AR brake with the angled ports? If not, when the brake is installed with the jam nut, is the crown flush with the first port? Do the threads look good and does the brake thread on without wiggle. Not fond of the jam nut myself, I'd rather lap/touch up the barrel shoulder to get the brake in time. As far as the adjustable die goes, they have their place but I find it just as easy to finish with the lathe.
"...could not find any evidence..." You'd know that instantly from the broken brake.
It has the angled ports. The crown is about 1/8 of an inch back from the first port. It threads on easily by hand but does not wiggle when installing it.