Erm, nope? In comparison to 2h and polearms 1handers have low(er) dmg, you don't agree?
The thing with 1 handers is you get more speed bonus because length = weight, and the 1 handers get good reach regardless of their stated length. A polearm with similar effective reach will get lower speed bonus for eg, and less overall usefulness from the agi
With their fast speed its also easier to get the hold bonus damage in normal attacks, without delaying your attack much
The swings naturally hit the head more also.
The 1 hand stab is too fast & high damage, especially with speed bonus.
Overall 1 handers are a bit too good imo when you add that they are 0-1 slot so can be combo'd with ranged weapons, which should naturally be inferior in melee