I'm sort of in the middle of the pack on this. I select brass to some extent, but not obsessively. I have tested a bunch of different headstamps, particularly a number of the "bad brass" headstamps from 300BlackTalk's list, as well as converting specific commercial and military cases - none of them has given me a problem.
I have a
Zep jig, and it doesn't seem to care if the cases are sized beforehand. It's mounted on a Harbor Freight chop saw that has been easy to use and quite comfortable - though it tosses case parts pretty hard! I chop the cases intentionally just slightly long. Once my cases are chopped, I use dryflash3's low dollar annealing process and anneal each one. In my first batch, I didn't anneal and it was considerably harder to form the cases than with brass I'd annealed. Annealed cases are lubed and sized/formed in a standard 300 Blackout sizing die. Once they're sized and de-lubed, I trim them with my Giraud Trimmer - the only catch with this is that there's not much case to hold onto, so I wear rubberized gloves to enhance my grip.
Obviously, I do this all in batches. I have about 750 cases at the moment, and when I get a chance to finalize some loads, I'll probably convert a bunch more to load up.
I have a comment on brass that's been converted in one pass on a Dillon 1050: sure, it's quick and easy, but I worry about how well the neck is formed in this sort of process. I feel that annealing is important to producing consistent cases, and I'm convinced that the expander ball in a standard sizing die is a crucial player in neck forming. Plus there's the matter of how much brass chips each case will generate - a LOT - with the Dillon trimmer; I can see the chips being a real problem for the trimmer and its vacuum system.