@sndmn11 to use your words the "conclusion" I am arguing for is "based on what I know and what I dont know at this point in the blood trail, the odds of recovery are as-good or better if I DONT keep pushing this animal right now".
I probably agree. I think you are saying you've worked through all, or most of the possibilities before concluding that leaving it is best. If that is close, I do agree.
What I disagree with is when leaving the animal is option two, and option one is walk over to the animal that died in sight.
I think that
@screedler is a good example of what I envision when I read stories of guys who walked away and came back to track a day later to find multiple beds and no dead animal. In my eyes, opportunities to kill were missed for every empty bed found.
My experiences with a hunter leaving their animal are two, and definitely have framed my perspective and approach:
1) A friend shot a bull. I was within 50 yards behind him calling and it was thick enough that I didn't know where he was or that an elk was involved. It was borderline last light and he knew he hit the bull but couldn't say if it was minute of elk or minute heart so he backed off immediately. When me, him, his dad, and my dad regrouped in the dark, he didn't know where the bull was standing when he shot, and there's a good chance he didn't know where he was either. Things look different in the dark, they look different from a new angle, and it was thick. We went back the next morning and the bull died in 30 yards from where he arrow was stuck in a trunk after passing through. No predator damage, but he didn't smell well and it ended up as burger after the first few steaks were cooked.
2) A person who is friends with a friend who has a cabin was hunting when I was. I went back to the cabin to cook dinner for everyone and he said he had shot a doe first thing in the morning in one of the little gulleys coming off a big ridge nearby. I asked where it was and he said he came back to the cabin right after he shot to give her time to die and was waiting for help. when we went out looking he didn't know which gulley he was in, he had never looked for a blood trail even though she went over the hill, etc., he basically shot and left.
So, for me, I want to get to point A immediately and learn what story it has to tell. If it tells me to look for B, I am in. If at some point everything about hunting that track out tells me to hold off, then I will, but I want to get to that point of knowledge versus taking a guess. If my friend had walked over to where his bull stood at the shot immediately before he lost sight of it, we would have probably found his bull in 20 minutes. If the second guy had found blood right away when he could walk to the shot or last sighting, we would have had a starting point.