I don't know about your LC brass, but I've been reloading and shooting LC 308 Match brass for years. I bought a bunch of it from a gunsmith I know. I think those cases are harder than Lapua, by far. I don't have an annealer, so broke a press handle trying to resize...
I was trying to resize a 308 case into 8.6 blackout. The Hornady 6.5CM cases resize just fine, but are not near as tough as those LC 308 Match cases. Are those the cases you're reloading? I think the cases I have came from Camp Perry, but not 100% sure.
To RCBS's credit, it was a Summit 2000 press that I've used for 15+ years, and they sent me a replacement handle for free. I didn't expect that, but they didn't have the original handle for sale, only the short one. I use a roller lever handle on it, so no worries...impressive support considering I bought the press used for $100...