When I've shot deer with a rifle, maybe 15% drop right where he walked on the runway, or general area. In that situation, I moved it off the beaten path, and gutted it in an obscure area, easily covered by brush, to hold off the crows as long as I could. But most of the time, they're taking off on a run, and end up away from my hunting area. In bowhunting (chasing my sons deer as I'm still cherry), this is often the rule of thumb that your going for a walk to find him. What, 100 yds, 200 yds or more, sometimes closer, but it's usually away from your stand. So, why worry about gutting him there. If they do sense something, let's say, they'll walk around the area where he laid down and back into yours.
If you feel you have to maintain a totally scent free area, then do what ya gotta do. If you rifle, and don't care, so be it. There's no right or wrong here, it's an individual preference.