I have considered going to a progressive press, mainly a Dillon, but have not due to the issue of case prepping. Not sure if anymore but at one time New Zealand was loading ammo for use in Palma Matches with Dillon presses and match requirements are that you have to use issued ammo. But with new brass. To me that says a lot for Dillon.
What I have learned is that for consistent accurate loads, case prepping is a major factor. I prep new brass and always find variances in primer pocket depths, length, sizing, to me that makes for differences in performance. I do not sort by weight. At one time I was measuring case thickness just ahead of the web, marking the case and orienting each round in the rifle according to the mark. The theory being that it would minimize performance variances caused by case thickness variance. I would also sort by load round concentricity at the bullet. Though I do not shoot for ity-bitty groups anymore, I still want my ammo to be as consistent as possible. Maybe one of these days, I'll find the answer and go to a Dillon.