Like in AW, the names associated with damage are largely flavor. The damage:weight:cost pairing is a little more important, since there's an economy there. There's also what weapon types are available to what classes, which is largely flavor plus a bit of 'balance' in the sense that the wizard shouldn't have as awesome of a weapon as the fighter.
You'll notice that in the fighter's signature weapon and in the top tier of standard weapons, adjectives are all that's applied. Feel free to do that if you want to, to treat a weapon as another type. A Loadstone Dagger might be more like a shortsword, in terms of stats.
I don't really care at all what weapons do in the real world. This is Dungeon World!