Instead of arguing over which profession should get which weapon here is my suggestion:

Take all woodworkers and give them a choice. To become a weaponsmith of the same tier and standing with the guild or become carpenters.

The carpenter profession would entail:

Housing Items (add more recipes)
Carvings
Instruments
Shields - subject to negotiation, but definitely warden and minstrel shields in my opinion

I think that in general crafting is an over complicated process / system. It could be immensely streamlined by way of merging some professions, adding or chaning recipes, and modifying the way gathering works.