I don't know of any bad ammunition or (factory) brass. I have a bunch of Barnes-stamped brass from Remington-UMC 120gr OTFB supers. It usually has crimped primers, but that's not a problem - they use fourTWO* flat stab crimps like newer LC brass.
I've also collected quite a bit of R-P, which is, of course not crimped. And recently I collected some FC brass that is ring crimped. I'm going to gauge the webs on those cases just to be sure, but I think they're fine.
As for shooting, those Barnes OTFB rounds are great. Very consistent and definitely more accurate than I am. The R-P 220 gr subs aren't bad, but I don't have a can to see how much quieter might be than other brands.
Edit:I just went through my Barnes stash, and they use two, not four, stabs. When they use a crimp at all. I'm not sure if my non-crimped brass is from the same OTFB load or not, but these are obviously never crimped cases.