ALWAYS chamfer the inside of a new case, or one that's been trimmed. But to do it right means you have to have round case mouths to start with. I can guarantee that most of the mouths are out-of-round from being dumped in large boxes after the final polishing. I don't care what type of bullet you're loading, the case mouth will scrape some of the copper jacket off the outside of a bullet IF it's NOT chamfered.
Just back the FL die out a full turn from it's full down position, run the cases into it and back out over the expander ball. That'll round out the neck, and you won't need to lube them.
The only other thing I would do is de-burr the flash hole. It depends on what purpose the shells are being loaded for. General plinking, I would just chamfer and load. If for serious target work, then flash hole work and primer pocket uniforming would be next.
