This is becoming a very common subject for me in the past couple of days, and mainly because of my new handi .223. I will say this about blackhills brass. The red box new match ammo has just given me awesome results as of today. I have never used the remanufactured black hills in my handi, but have run a whole bunch of the fmj reman through my AR. I have never had a problem with that or ultramax reman in that rifle, and it is a preban colt AR15 A2 which is still all original parts. I have heard of a few instances of what quick is saying, and when it comes to handis he is way more of an authority to me.
I just ordered a good amount of the ultramax 50 gr. nosler bt rounds because of the results the 55 gr. fmj rounds gave me. They were just as accurate as the black hills in my gun. It is possibel that both company's could have lake city cases in there reman. ammo. But like quick said, I don't know how true any reports of bad casings and malfunctions are. I know with my experience and for the cost I have had the same results with the remanufactured ammo as the new stuff. The day something goes wrong is the day I quit using it. Hope this helps a little, Good luck.
Oh yeah, I love my new handi. Just have fun with it.