Actually, the Pickaxe is affected by weapon perks (at least by Armsman). I get 6 damage at 20 One-Handed Skill. 8 Damage by boosting one-handed to 100, and 15 damage by taking all five ranks in Armsman.
Fork and Knife are also slightly affected by one-handed skill (1 and 2 damage at 15 skill, 2 and 3 damage at 100 skill), but they are not affected at all by the Armsman perks.
Actually, the Pickaxe is affected by weapon perks (at least by Armsman). I get 6 damage at 20 One-Handed Skill. 8 Damage by boosting one-handed to 100, and 15 damage by taking all five ranks in Armsman.
Fork and Knife are also slightly affected by one-handed skill (1 and 2 damage at 15 skill, 2 and 3 damage at 100 skill), but they are not affected at all by the Armsman perks.