I need to check a reloading manual. Just don't see how that much lead would cause less meat damage. Any chance you have any articles/forum discussion etc.. that talk about this.
The reason is that the bullets are typically very tough and do not violently explode, sending shrapnel every where, on a white tail deer like a ballistic tip (or similar) from a .270 will. They barely expand at all but with a bullet with that large a diameter it doesn't need to expand to turn the insides to jello.
While I do not own a .375 (hopefully soon) I do own a 338RUM and used it to take a whitetail doe at about 75 yards. I was using 250 grain Swift A-Frames and the meat damage was very minimal because the bullet simply punched straight through with out expanding much if any at all. There was a very small hole going in and a hole about the size of a quarter coming out.