There is probably a better term for the assembly method than "grab-bag". Also, "parts bin" is kind of misleading. Campbell (or maybe someone else) shows a photo of the actions awaiting assembly. The actions awaiting the assemblers were stored on specially constructed racks, with each piece in a separate place. The actions (and presumably other critical parts) were not just piled or dumped in a parts bin.

And since the #s were on the lower tangs, were the lower tangs attached to the actions in storage? Or did the assembler attach the lower tangs?