I've killed deer,elk,jackrabbits,coyotes and antelope with the 7mm 160 gr NP, so far no complaints yet.
Used the 160 gr in 7mm Rem Mag and the 7mm Dakota.
In the 7mm Dakota I'm now using a 140 gr NBT as it's new role is for deer and antelope. It has a Leupold 4.5-14x on it also. The Leupold CDS is also gone.
To your last point,if you can't hit it,you can't kill it. Baring something out of the shooters control ie..wind,animal moving,hit a twig/branch etc...