Oh my, what an evening we spent together this movement and I.
First time I have been on the dial side of a Bell, let alone a 4005 and damned if it doesn't have the gnarliest date jumper spring ever.... Lost one, had to find another and I did.
So it turns out that the whole date corrector piece was missing, nowhere to be found. Thankfully I had an old busted 4006 movement for parts with this piece intact so was able to replace it with that one as they are the same.
Its way past my bed time, so no pictures tonight, but I did take a bunch of the dial side in various states of undress.
As an aside, if anybody has a nice date wheel for a 4005 feel free to let me know. Several of the days have some missing text. Unfortunately this part is not shared with the 4006...