I had a kimber 338 fed about 5 years ago and the speer 200 gn hot core was the only thing it would group well with. I shot nice mule deer buck and was happy with the results at about 75 yards.
I used the 360 gn Accubond in my 375 RUM for 20+ years and never lost an elk. They penetrate 3/4 the length of a big bull. At 3080 fps they are DRT. 4 elk so far.
I've used just about every caliber rifle and they all killed elk dead right there with an accurate shot, but my 30-06 has taken just as many and dead right there. 180 grain accubonds are hard to beat.
If elk is part of your normal hunting a 308 with 165 grn accubonds is what I built at 6 lbs with scope. It will give you a little more assurance with quartering shots than the smaller calibers. In my opinion. It's never failed me. I've not had any recoil issues without a muzzle brake.
I've had a browning A bolt for about 20 years. It's been lightened to 7 lbs with scope and muzzle break . The 200 gr. Accubond at 2950 fps. has taken every thing from antelope to elk. I love the 325 WSM. With the 200 grn bullet It's everything a 338 WM. is.
I was curious about terminal performance. I had a 338 RUM for quite a few years and the 225gr Nos. Accubond was excellent. I moved up to the 300 gr Accubond and it was a little slow at downing game. Then the barrel wore out so I re-barreled to 300 RUM.