It's true that the average '06, .308, .270, 7mm Mag, etc will do more meat damage to game animals than the .375 or a .458 will. The more heavily constructed bullets for the heavy calibers at moderate velocities pass through the animal with far less violent expansion than the higher velocity rifles most often used for deer.

Any animal I've hit with my .375 has dropped right where it stood. I take my shots carefully and place them well and the animal goes down as if hit by lightening.