That makes sense, that it would have a higher chance for causing it, maybe even significantly higher, but think about if my character slashed at, for example, and elf's throat. There is a good chance to hit the artery. That would not kill immediately, but there is a very low chance the elf would survive for any significant period without healing. My point is that it would cause bleeding.
Alternately, you could change from my character's claws, designed more for ripping(sort of what you were talking about), to a normal sword that, of course, has much greater length that the claws. Let's say you use that sword to run someone through, perhaps pinning them to some stationary object behind them, perhaps not. The likelihood of immediate death? Not too high. The likelihood of survival? No higher. I'm not sure I'd call this bleeding, exactly, though that would be a part of it. Regardless, it would still have a similar effect. They would die in what would be the equivalent of a few turns. It wouldn't really matter that much if the sword had a serrated edge or not. The internal damage might vary slightly, but probably not to any significant amount. See what I mean?
