Bloodlust is definitive a candidate for the fastest weapon. In my experience it is even faster than the Light Sword.
During my current game, I had this constellation:
Samurai with Bloodlust: 3 swings, high Damage
Bard with a bad weapon: low Damage
As soon as I found the Light Sword, I switched and got this:
Samurai with Light Sword: 1-2 swings, moderate Damage

Bard with Bloodlust: 3 swings, high Damage
Perhaps my Sam doesn't like this high-tech thing...