Is it possible that this is counterbalanced by the circulatory system's reaction to cold? For instance, perhaps surgery on the limbs is easier when the body is reducing peripheral circulation as it does in someone experiencing hypothermia.
Empirically, my understanding is that no, the harm of cold temperatures (decreased coagulation) is not counterbalanced by the gain (decreased peripheral circulation). Patients undergoing surgery are coagulopathic, moreso when they are cooled, and in fact they are often actively warmed now.
That's exactly what they're talking about. If the reason they bled less was that their blood was coagulating all over the place, they would also bleed less because they would be dead.
