Let's get real here, the 338 WM is not a big caliber and wouldn't be in the realm of compensating, it is just so painfully average. Now if you showed up in deer camp with a 416 Rigby or 378 Wby.................that's another matter entirely.
The OP asked for a ONE GUN DOES ALL out to 4-500 yds on big game, if he's talking NA then I would say any one of the 300 mags or 340 Wby, if he's talking world wide I would say the 375 H&H or the 416 Rigby with the new powders and bullets it truly will do the 4-500 yd thing just fine. All of the above in an 8 lb wood stocked, Teflon coated, stainless steel gun, with a 3-9 Zeiss Diavari or even better the new 2.5-10. 24" barrel, floor plate (no DM to lose) and it must shoot 1 1/4 moa out to 500 yds.
I have said many times that I would happily hunt the entire world and every criiter on it with the 340 Wby and 3 different loads and not feel under gunned on anything including elephant.
The OP asked for a ONE GUN DOES ALL out to 4-500 yds on big game, if he's talking NA then I would say any one of the 300 mags or 340 Wby, if he's talking world wide I would say the 375 H&H or the 416 Rigby with the new powders and bullets it truly will do the 4-500 yd thing just fine. All of the above in an 8 lb wood stocked, Teflon coated, stainless steel gun, with a 3-9 Zeiss Diavari or even better the new 2.5-10. 24" barrel, floor plate (no DM to lose) and it must shoot 1 1/4 moa out to 500 yds.
I have said many times that I would happily hunt the entire world and every criiter on it with the 340 Wby and 3 different loads and not feel under gunned on anything including elephant.