triplecanopy,
Your posts on this subject indicate some misconceptions:
Weight-sorting brass isn't nearly as important as sorting for even neck thickness, because even necks help considerably in seating bullets straight. Are you checking for bullet concentricity with the case? As others have noted, the bullet seating stem can also make a considerable difference ins seating bullets straightly.
Neck-sizing fired does not necessarily ensure straight necks, in fact I've found conventional neck-sizing dies result in crooked necks more often than full-length dies, for the simple reason that neck dies don't support the case body while the neck is being pulled back over the expander ball.
117 roundnoses were standard in the .25-35 because of the tube magazine of the Model 1894 Winchester, and were also loaded in the .250-3000 Savage because of its orginal 1-14 rifling twist, but the 1-14 twist handled 100-grain spitzers. (The .250's the cartridge you may be thinking about.) As a result, round-nose 117's became "traditional" in .25 caliber rifles, to the point where they were loaded in the .257 Roberts even though its 1-10 twist would easily handle 117-grain spitzers.
Oh, and they were also loaded in early .257 Weatherbys, because for some reason Roy originally used 1-12 twist barrels. In fact, the traditional 117 Hornady RN factory load was still offered up until 2-3 years ago, for those hunters who prefer heavier bullets in their older rifles. But Weatherby switched to 1-10 twist barrels in new rifles decades ago, and like other .25 caliber rifles with 1-10 twist barrels, they easily handle 115-120 grain spitzers. In fact, even the very long 115 Berger Hunting VLD is designed to stabilize in 1-10 twists, the reason it shoots very well in accurate .257 Roberts rifles, including Walt Berger's own pre-'64 Model 70 Winchester.
In fact, apparently the only major commercial .25 caliber cartridge NOT to be cursed at least occasionally with 117 round-nose factory loads is apparently the .25-06.