It's been quite a while, like nearly 40 years, since I was in the bench rest game, but indeed, there were shooters who just kept reloading the same case at the shooting bench for maximum consistency. Seems as I remember some who marked their cases so the orientation in the chamber was always the same. Some had portable reloading outfits with presses, some used hand tools. Generally, cases were neck sized only, which is what the Lee Loader does. I remember some who weighed out individual powder charges at home, kept them in little plastic tubes for reloading at the range instead of using a powder measure. I didn't do that, I loaded all my ammunition at home, but I did have a set of closely weight-matched cases of the same make which I neck sized only. I have no idea what BR shooters of today do.
"...does not require you to whack a live primer with a hammer."
Some may have experienced popped primers with a Lee hand tool, but of the thousands of rounds I reloaded with Lee tools, I don't remember a single instance of that happening to me, with either metallic or shotshell primers. But I always tapped them in lightly.