Then there is doctrine of transubstantiation. If you hold to that, you are literally drinking the blood of Jesus each time you have communion, so why not other blood as well? So I understand why it happens, but I don't see a Biblical basis for it and I must admit as I think on it, it is surprising that so little attention to the blood issue was paid by the Reformation fathers.
The reason given in Genesis for forbidding the consumption of the blood is that the blood is the "life" of the animal. The ancients considered the blood to be sacrosanct in some sense. For Christ's flesh and blood, eating the "life"
because it is sacrosanct would be part of the point.