Weapon handles used to have more impact on a weapon, for example some materials actually increased the piercing dmg. This could be expanded in different ways.
Apart from additional piercing damage, the grip material could also add weakspot and weight-driven blunt damage. Knowledge of the effects of grip materials is what defined a good weapon smith.
I agree with this. I would also like to see grip material be expanded beyond textiles and skin. It used to be possible to use bone, tooth, horn, metal, and stone for grip. I don't know if scales are still possible, but they should be as well.