For RPG purposes, is the following a reasonable division of Medieval European steel weapons into four categories based on penetration?

Picks and War Hammers and some Maces
Maces, War Axes, Pole Axes, and War spears
Morning Stars, Throwing or Wood Axes, Hammers or Clubs, Cut-and-thrust swords, and Hunting (Broad Point) Spears
Slashing Swords