To add to the confusion, they sell non-Set Tru chucks that are designed to mate to a Set Tru adapter plate. Indeed, I may have pictured such a chuck in Post #31 above.
In any case, I think that a non-Set Tru plain back chuck only has a shallow female registration surface.
A Set Tru plain back chuck, however, has the much deeper female surface which fits over the boss (with or without another female surface for the shallow registration).