Rootcause,
You've taken statements made in a very specific and limited context and attempted to apply them in an open context. The Deuteronic instruction regarding the butchering of wild animals for food was not a general discussion about blood.
This can easily be seen just by asking yourself the simple question, --What was the blood poured out from?
Deuteronomy 12:15,16:
"Only whenever your soul craves it you may slaughter, and you must eat meat according to the blessing of Jehovah your God that he has given you, inside all your gates. The unclean one and the clean one may eat it, like the gazelle and like the stag. 16 Only the blood YOU must not eat. On the earth you should pour it out as water.
Deuteronomy 15:22,23:
"Inside your gates you should eat it, the unclean one and the clean one together, like the gazelle and like the stag. 23 Only its blood you must not eat. Upon the earth you should pour it out as water.
Wild animals like the gazelle and the stag do not let you get very close to them. You certainly can't walk up to them and slit their throats in the kosher manner. Consequently, bleeding the carcass was a separate and distinct step from killing the animal because methods for putting an animal to death from a distance (e.g. An arrow or spear) do not sufficiently bleed the carcass.
The blood was poured out of the animal carcass itself. The specific nature of this requirement is makes it inapplicable outside of the context of butchering an animal for food. It has nothing to do with medicine.