I've never had any problem with bullet damage with my hammer-type kinetic puller. I've used it a lot, and like I said earlier, if you put some wadded paper towel in the 'collecting' end, there's no obvious bullet damage at all. I've reloaded and shot pulled bullets time and again and I can't see any accuracy loss. Admittedly, if I was shooting 4 inch groups, I'd never see any accuracy loss, but I do shoot a bit better than that.
If I was going to pull 250 bullets and I was in a hurry and had no plans to reuse the bullets, I'd go with pliers and my press. Much faster.