I don't think the Hornady bullets are the problem. I've gotten excellent measurements on them, as well as excellent groups. If you want available top-notch target bullets, get in touch with Ed Faber at JLK Bullets. Every measurement I can think of to do on these bullets is spot-on, and you can actually buy some! My base-to-ogive measurements have been almost exact since I started using them. Sierra bullets are excellent, too. I wouldn't hesitate to use them in a match. They've probably won as many matches as any other bullet. I am sorry to say I have no ideas about your runout issue. I would screw the Forster bullet seating die down with the press ram all the way up, and screw the seating die in until it comes to a hard stop, not using the spring-loaded portion at the bottom. And if you can find a cheap standard seating die, try using it. But be aware (as you probably are) that many of these dies have a crimping ring if they are screwed in solid to the top of the ram. They have to be set up in the press with a washer as a spacer, to maintain die alignment, but allow a space above the press ram, so the bullets don't get crimped. I personally use a Lee Dead-Length Bullet seating die (no crimping ring) to seat the final 0.010". You could possibly ask Lee to make one in your caliber, if they are not available. I'm very interested in what is causing this, and I'm glad it's you and not me. But when you figure it out, please clue the rest of us in about what causes it, and what to do to fix it. BTW, if you seat a bullet, and you can't twist it loose using your fingers, your neck sizing is GTG. Yeah, maybe a gas gun could loosen a bullet, but that's a special case, and I only shoot bolt guns. If you want a neck sizing operation that squeezes the case neck, with a mandrel in the neck, get the Lee Collet/Mandrel neck sizing die. Again, you might have to special-order that, depending on your caliber, but there's no lube involved, and it sizes turned necks exactly the same as unturned necks, without changing any parts. In fact, that's how I size everything.