Despite the name, Bloodlust actually isn't as focused on Bleed as Hallowed Praise. That said, it has both 60 Bleed and Burn damage on hit. What pushes this to a top-tier sword, though, is the special effect of restoring a small amount of HP for each kill. You'll need to build to...
"My sons, the galaxy is burning. We all bear witness to a final truth -- our way is not the way of the Imperium. You have never stood in the Emperor's light. Never worn the Imperial eagle. And you never will. You shall stand in midnight clad, your claws