I don't find much of a difference between cold and room temperature, meat, personally. Although usually the inside is not as cold as the outside, and it might depend on your refrigerator temperature as well. Blood I prefer to leave outside for a while, as I dislike cold liquids. As dariorpl already said, in some areas, the meat could remain warm, albeit not from the animal itself, while in others it might even freeze.
If you could get meat from an animal that was very recently killed and is still warm, that would probably be the best. It might explain why a lot humans tend to favor warm meat (and to an extent cooked meat?).