It makes no difference
I (we) just finished skinning and quartering 8 (eight) deer and some of them good sized but no trophies. I'm in western Wisconsin north of Eau Claire and we're allowed two deer per license.....
Guns and ammo used are as follows: .300 Win. Mag 180 Gr swift A-frame, .270 Win. 130 Hornady SST, 6.5X55, 129 Hornady SST, .257 Roberts, 100 Grain Winchester silvertip, 6 MM remington, 100 grain Hornady BTSP, .243 Win., 100 grain CT (Nosler)
All deer dropped in less than 20 feet from the place they was first hit, and all of them hit only once, and in every case the bullet was not found. Either from pass thru or from disintegration. The performance was the same in every case.....devastating.
At least one shot with the .243 was paced at 253 yards and the deer looked the same as ones shot at much closer range and with bigger guns.
In all cases the bullet placement was in the heart/lung area and it seems to work as good as anything. Shoulder damage was severe in some cases but in all the discussion among the four of us.....there was no difference in all the guns and ammo we used.....all worked when placement was good and without regard for power levels.
Whitetail deer aren't fussy what they're hit with as long as they're hit in the correct area.