Do you guru's know (Groily will be across this) - if the camring is the same on the tightwire and loosewire) - maybe just rotated 180 degrees and with the 'stop' screw cutout moved?
Camrings are made blank Jools and can be notched any which way. Typically there will be one small notch in the right place (one hopes!) for a fixed ring, and a wide one to limit movement of the advance/retard (about 11mm wide usually) plus a small V-angled one for the plunger on a manual one. That will be left or right side of the notch depending, and in many cases one sees one of each. (Not to mention any extra notches cut by people over the years.)
Rings can be rotated 180°, sure (as long as it's not a V twin (!) where there are other considerations).
Single cyl ones can also be rotated, but you then use the other flip point of the armature and the polarity of the spark will reverse. Ideally you want negative on a single.
Reversal of rotation always entails moving the camring position.
Note that early K2Fs had two small axial screws on the cb housing to secure a ring with a wide notch in the fixed position, and just one if it was manual. So one wide notch suited all mags. Then, the eccentric stop pin came along, and different notching. Better, because you have tuning ability.
Sometimes, a camring looks like a castellated nut, more notch than ring almost!