Where I live and hunt in the savannah of South Africa there is a saying: "if you have to rest your rifle when killing a kudu or wildebeest or eland or even impala the game in your neck of the woods are to few to be hunted".
We also have "shooters" here, but mostly we have "hunters" - who hunt because the hunt is a way of getting into nature, to be able to practise the eyes and ears and nose again, to appreciate the gift to experience again a little of what creation is, and of course to be the predator and walk and find and then stalk your prey until a single shot puts it down.
Even at 100 yds (the average where I hunt is 70) the placement is not ALWAYS in the perfect heart-lung area, as for kudu you have about seven seconds from sighting to shooting and then the hunt may become tracking for about 100-200 yds.
BUT the possibility of wounding at silly distances (and in my experience during 55 years of hunting and living amongst people who get their first rimfire rifle at 13 and their first centerfire at 16) is just too great; any distance beyond 300 yds is silly. At 500 yds you may not even know whether you had wounded or missed, and beyond 600 you WILL not know. I am also a Bisley target shooter so I know what the possibility is of hitting a mere eight x eight inch critical area on a stationary target at 900 meters- if the guys in the pit would plan to now and then move it just the odd two inches while you are aiming..... The bullet takes say an average of 1.8 seconds to travel 1100 yds, so one can wonder about a live moose moving. Luck happens, but at that range s**t is more likely to happen, so why take the chance? "If there is a doubt, there's no doubt".
If there is a chance to NOT kill cleanly then do not shoot - it is as easy as that, is it not?