Hello! I'm CastleCaz - I created a couple of videos beating bloodthief without using any blood. It's impossible to beat the full game without collecting blood, but there's enough workarounds to where you never have to use it. Might seem like a fun speedrunning category, I'm unsure. I'll just leave this post here boyos <3

This has been suggested a few times, I think the general consensus is that a bloodless category would be too similar to pacifist%, which doesn't have that many runners as-is.