Some monsters does have bleed, typically snakes / spear throw will make you bleed, and the jewel corruption of removed CB does not remove that bleeding effect.
Similarly, in synthesis, there's a mod that cause you to NOT bleed, effects the snakes / spear throws, but it does not give you immunity to corrupted blood per say.
If your build is stronk enough, anti CB jewel alone is enough, anti bleed is unnecessary.