In this photo:
View attachment 408420
Looks like the screw simply unscrews. For use in a a thread-mount, the hole is elongated to accommodate for the camera length change between IIIb and IIIc. Other photos show a retaining ring that would hold the screw - but I think it's still designed to be moved from one of those holes to the other. So, if you had one with the bigger screw, you could probably easily swap it for one from another bracket (or make one from a 1/4-20 screw).