My experience with coppers:
7mm: used orginal barnes x, lrx, and badlands bulldozer. Bandlands went out of business but they were the best coppers I've used. Accurate, high, true BC values and they had a hourglass shape to handle the copper flow. Other brands just cut grooves which create hard edges, increase drag, and lower BC. Took several antelope and mule deer with the lrx. All ran, but died within a 50-100 yards.
The only animal I never recovered was a whitetail doe shot with the og barnes. It didn't go that far, maybe 200-250 yards, and hid under some logs. We, really the birds, found it the next week.
30 cal: I've used the hammer lever bullet. Big opening in the nose. Works great in the 30-30. Highly recommend for lever guns, and prob the 300 savage.
338: Barnes ttsx from a 338 rpm. Killed spike elk and a black bear. Elk was drt. Do not recommend any copper bullets for black bear. Their skin is really thin and most are under 200 lbs. Especially spring bears. They just don't have enough substance to really open them up.
358: used the 255 gr hammer. Shoots great, hits reallly hard. I have no doubt it will pass through both shoulders of an elephant. The ore hauler tire at our range doesn't stop it. The actual BC is way lower than advertised.
Overall, coppers need more speed to work properly than lead core. They have lower bc values which exacerbates the need for speed. Adding on to this, you need to shoot lighter bullets, especially in legacy cartridges with slow twist rates, because they are longer than lead core bullets and to maximize velocity. Animals I have shot take longer to die, but still die really fast. The wounds they make are long but narrow, i.e. you can eat to the hole. They work just fine as long as you send it through the lungs over 2000 fps. No animal will notice the difference.
Tyler Freel just killed a grizzly with a 22 arc using the copper rose bullet. They all can be used to great effect.
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