I believe I have to say what I think the first shot on undisturbed game should be like. (Been blasted for saying people don't "observe" their shots anymore.)
The first shot on game should be aimed at harvesting the animal as quickly and humanly as possible. Normally this means placing a carefully aimed projectile into the ribcage of a broadside animal, with the knowledge of that projectile's travel path. ie; aim to pass through both lungs, and the heart if possible.
A hunter should have a good enough idea of anotomy to know where lungs, heart, liver, intestines, ect are on the animals they hunt.
A hunter should be able to observe the reaction, if any, to the shot and take follow-up action as required.
If you are a responsible hunter, you pick out a spot to aim at.... and we hunters shouldn't be saying "I shot towards the animal" or "I shot at/into the left side of the thing, why didn't it fall?" And we have all heard other tales.
Folks, we are our own worst enemy out here. Lets not give the anti's more fuel by wounding animals, or leaving them to suffer because we didn't do OUR homework before the hunt.
Best of all let's put on a Sportsmans game face when talking in public. Hell, we ought to wear one permanently anyway.
Welcome to my soapbox today,