Mention weapon names. How often they're used. What disadvantages they have.
most used 1h
100-105 reach      nordic-knight-eslavona   30-36 dmg   upkeep 9-10k  + shield another 6-10k 
most used 2h.    
124-125  reach.  +15 on lolstab     danish/german      40-43 dmg.     upkeep 11-12k               
except advantage to use a shield     1hander  have no advantage in term of speed, reach dmg, cost  of 2handers, wpf, and manouvrability, and upkeep
you are whining against the obvious,     shielder = harder to kill = more survivability, if you remove that  the class have no sense to exist.
you sacrifice sourvivability, for more reach dmg, lolstab,  animations,  less upkeep,  more wpf, and manouvrability