I've had the 1A box for 31 years, and the III box for 3 years, but never put much thought into them until today. I've just come downstairs from comparing them (what a concept!), and maybe I've learned something. Or maybe not...
Below are photos of both boxes, and several things became obvious once I paid a little attention:
1) They are different sized.
2) The 1A box has 3 holes, while the III box has 2 holes.
3) Neither the typical Edison spring grease tube, nor the Dixon's Graphite tube (which came to me with the III) will fit into ANY of the holes!
4) The reproducers appropriate to the model WILL fit into the large spaces, if turned upside-down or sideways.
Here are the photos:
This view shows the boxes from a slight angle. The difference in height doesn't show well, but the Amberola III box (foreground) is about ¼" taller than the box for 1A (background). The original oiler and screwdriver are in the III box. Nothing was in the 1A box when I obtained the machine.
The next view shows the boxes from directly above. You can see that both boxes were originally nailed into the cabinet interiors with a single finishing nail (both of which have miraculously survived). If the reproducers were originally shipped in these boxes, they must have been well packed with cotton, cardboard, etc. The Amberola III box (left) seems to have been designed especially to accommodate the longer neck of a Diamond A reproducer. Finally, it looks as though both boxes had wooden lids that fit into them and were probably secured with tape, twine, etc. This means of course that the oilers and screwdrivers were not shipped in those holes, but in the larger compartments with the reproducers.
I don't know if any of this speculation is accurate, but it seems plausible. Isn't it amazing what becomes a bit clearer by getting up from the computer?
George P.