I have shot a few whitetail bucks with my Win. 71 (a deluxe) and a few elk in heavy timber in the west. All animals were shot with the Win. factory loaded 250 gr. silvertip bullet. Most hits provided a one shot kill, with even the biggest elk going only a few yards. Entrance-holes were only caliber-sized and exit-holes about the size of a .25 cent piece, maybe a little larger. I personally prefer the heavier bullets from this gun. I have owned it since the mid-1950s, when I bought it new along with 2 boxes of factory 250 gr. ammo. Along the way I gathered-up 10 more boxes of the Winchester 250s and still have and use them. I have not fired any of the Hornady bullets thru my gun, so I can't comment. As a guess only, the jacket of your 200 gr. might a little thin. Just my 2 cents,