I you and your rifle are up to it, then brass makes a difference. In a wildcat bolt gun chambered for 6x284, I went to all the trouble to make 10 brass from Winchester, Norma, and Lapua brass. I found a good powder/primer/bullet combo and was trying the same load in the three different types of brass. Norma and Lapua, both shot 1/8" groups at 100 yards. The Winchester was 1 1/4" with same everything!
Don't use this example to discount all Winchester brass (that and LC are my "Go To" 223. Even better than Lapua!!!) Just don't get married to a single brand for everything!
A few years ago LC had several million 5.56 brass over run and was sold off. My 1000 yard load uses Virgin LC 5.56 and Varget and 75 A-Max and 7 1/2 primer. I have gotten 3" at 1000, and 5" are common place! (Bolt gun only load!)
My everyday AR load (most of my components are no longer available!) is with mixed 5.56 brass. Out of my AR it is 1/4 to 3/8 MOA, out of bolt gun <1/8 to <1/4 MOA. The secret is good powder/primer compatibility, this is WW748 and CCI primers (no longer made to this spec.) The only way to find the good combos is to research and experiment! (if you can use a load using Rem 7 1/2, CCI BR-4 or Federal 205M, they are the best out there now, but may not be hot enough to get your needed velocity!)
In 1998 the EPA outlawed all primer compounds containing ANY lead, this did away with all the great primers. I still find full bricks of the primers, but the primer shortages forced people to use up their reserves, so no 5000 cases have been seen since before 2005. (my good load used a CCI Small Rifle Mag primer from the early 80's that I had several cases of. I have less than 2 bricks left.) When you find something that works well, buy lots of it because: 1) the price is only going up & 2) they may quit making it!
Ivan