In the last part of the movie American sniper, Chris Kyle is seen aiming towards the hiding spot of the butcher, and just before shooting the target the camera moves towards the crane and the wall built by the engineers. This sequence doesn't look right to me, since it was recorded as if it were the taken straight from the sight of the rifle, and moving it would have meant moving the whole rifle in a completely different position from the shooting one.

So my question is: does that sequence have a "practical" explanation (by which I mean, moving the rifle wouldn't hinder the acquisition that much so it could have happened) or was it an artistic license?