I'm not sure I can answer your question, however, I think that I can contribute a bit to the discussion.
In the writings of Saint Basil the Great (329-379), "blood" is described as closely identified with the soul. This is consistent with the OT and later ideas of the spilling and consuming of blood.
When one drank the blood of one's opponent, one literally consumed the soul of one's opponent, taking for one's self the strengths and mights. When two men mingled their blood (ie "blood brothers") they literally "mixed" their souls so that they become related. When the Hebrews were warned against the consumption of the blood of animals (hence the regulations for kosher butchering of livestock - killing by draining the blood of the animal) it was so that the person eating the meat did not also take on the bestial passions of the animal so consumed.
When we as Christians partake of the Most Holy Body and Most Precious Blood (known as Holy Eucharist or Holy Communion), we take in the spiritual nature of Christ inasmuch as we are able to bear it.
I think this identification of "blood" and "soul" might be of use here in talking about the relationship of our Lord's sacrifice and blood.