I was trying to interpret the weaponsmith rules on specialties and eventually ended up talking to staff (Veronica, and Mike through her). The answer I got wasn’t immediately clear from the book, so I’m sharing in case others had a similar confusion!
When the book says “choose one of the following specialties”, it means that you pick one material specialization (fiber, metal, wood) and one weapon type specialization (bow/crossbow, one-handed/dagger, two-handed/pole), slap those together, and THAT’s your specialty, hence the examples of bowyer, wordsmith, and turner. You get to pick your own combo, not necessarily one of those three.
e.g. I’m likely specializing in metal materials and two-handed/pole weapons, so I guess I’d be a … greatswordsmith? Dragonslayersmith? Impracticalitysmith? I’m still figuring it out…