This one agrees and feels the same about Shortswords and Punch daggers/claws.
Even if not every material gets a version, at least some should.

This one’s idea:
Black Ice: Great Axe and Shortsword
Dragonbone: Claw and Double Axe
Obsidian: Great Axe and Katana

Punch Daggers don’t even have a non-premium Star metal tier.

Such a pity the weapon types were left behind.
This one would have thought the “Age of War” would have been a good time to finish fleshing these out.