This does not preclude an association with weaving at all. If you read Thanos' post again, he pegged it correctly I think. There was an original meaning which later got washed out. Avry's post shows the effect of the wash-out. You get a tool which still has one feature of this original design, the split end, but is now missing the head....or the other way around as in the design you show.
The original design may have been anatomic. The association with weaving is the fact that the same animal also provided precious wool, the raw material for weaving. I made that comment in my first post to you as possible evidence to support your contention. An interesting linguistic connection is the German word for fabric...."Stoff" which relates to the English Staff, which Germans call "Stab"
The bee and sedge are the symbols of the king's chief domains, Lower and Upper Egypt, respectively. The banner to the right and below of the bee and sedge denotes Horus-Striker....Heru Medj-u. That was Khufu's Horus name. The symbol above the quail chick inside the banner is a press, for example to press grapes. I am pointing this out so that you see how their language absorbed the objects of their immediate concerns as symbols and so I think it is perfectly reasonable to investigate whether a tool used for weaving and a staff used to project divine power may have a common origin to be found in a real object which branched across both tool making and language while preserving quintessential features.