Thanks much Kirk and Parashooter!  Now for the next obvious question?  How often should I do this?  As I said, I have tons...  I obviously won't anneal the once fired, but I may just go ahead and anneal the rest of my cleaned brass to be sure (better safe than sorry).  I must admit that I don't neck size, although I never see much evidence of the main case body touching the die anyway...  Maybe I need to rethink that, based on my recent accuracy experiment (which didn't turn out nearly as accurate as I had hoped)...  I have the powder/bullet and reloading in general down pat, but with such a wealth of knowledge on this forum...  I am always open to new ideas!