Bigger is sometimes better. The 375 will do most anything you want it to do in the world with good shot placement, the same of which can be said for many calibers . I have a 45-70, then 416 Ruger, then 458 Lott with corresponding bullet weights of 325, 400 and 500 grains respectively!
The speeds at the muzzle are 1800, 2300 and 2300 feet per second more or less. The 375 is what 280 grain moving at 2600 feet per second? So which of the four do you want to use on a Cape buffalo or elephant if you had the choice? Buzz Charlton, elephant hunter, recommends 416 and up for elephant and is very pleased with the 458 Lott saying, " that even with poor shot placement to the head, a 458 Lott will almost always knock a bull down for a follow up shot or kill a cow elephant from the concussion ".
The 375 will not do that. Not saying it will not kill because it will.....just that the margin of error is smaller. For an all around hunting rifle I don't think you would be wrong to buy a 375, just become very good with it.....practice . To your point it becomes a true matter of placement.
I like what Brickburn said.......it's stopping power with the larger rounds.
On my elephant hunt there were four rifles backing me up. I used the 416, PH #1 was using a 500 NE, PH #2 a 470 NE, Apprentice PH 375, and my son was using the 458 Lott. Now if I do say so myself that was a lot of STOPPING power in case I messed up the shot.