Here is an interesting line of continuity that sort of fascinates me, because I am geeky for all things wizardly.
The official insignia for the highest order of initiates (the Pater) of the Mithraic Mysteries in ancient Rome were a pointy hat, a staff, a jeweled ring, a cape, and robes.
Some people think this influenced the official insignia for a Roman Catholic bishop (although an argument can and has been made for origins in the Aaronic priesthood). The bishop's insignia includes a pointy hat (or miter), a staff (or crozier), a jeweled ring, a cape (or chasuble), and robes.
Any point to this lineage? Maybe not, but I find it worth musing on.