my dad (RIP) had a Remington m760 in 30-06 that just luved 180gr Remington RN factory ammo. i think it was in the early 90s, when he was going to buy a box (20 cartridges) right before buck season (about a month before). well, all of a sudden, no matter what store, they were out. he had only 7 cartridges, 2 of which he shot the target and 3 deer fell. he had 2 cartridges left. sometime early next year, he bought a carton of '06 180gr Remington RN's (i think it was 500 cartridges). he said "that was the LAST time the pump would run out." i have 380+ '06 cartrigdes left, not to mention the hundreds of '06 cases. (i use them for my 7,8,9.3x57, 7.65x53, 6.5x55 and others.)
my brother has a Mossberg Patriot in 270 Win and it likes 150gr Remington RN, but 7-10 or so years ago, Remington changed their RN ammo . i think that they changed their jacket construction to heavy game, instead of light game (like deer). i wasn't there, but the Remington RN bullets were (and now?) "penciling" their way deer (under 100 yards, or so i'm told by many people). i shot a doe that "penciled" in (243 Win, 85gr Barnes X-bullet) and she ran thru 300 yards+ of thick cover. i feel bad about them guys and their tracking. Premium bullets were damned by me back in the Early - Mid '90s.
but anyways, i don't know about the Remington RN's are like anymore. i shot a bunch of deer with my '06 in 180gr Remington RN factory loads, but i soon switched to 150gr Hornady RN and 170gr Hornady FN. i haven't shot a 243 in about 25 years+/- , but i can remember a 100gr Hornady RN would do the job. does Remington still make their 257 Roberts with a 117gr RN?