My testing of primers for .223 handloads has not been extensive, but I did some comparisons in the last year using a favorite bullet, the Sierra 65 GameKing and three primers, CCI-400, CCI-450, and the Remington 7 1/2. Powder was H4895. A couple of Colt AR15s with 7" twist bores and a CZ bolt-action with a 1 in 9" bore were used.
Without reviewing my notes, I'll say that generally the CCI-400 showed best accuracy, but this became a hair-splitting exercise. The CCI-450 and the Remington 7 1/2 were very close. I'd feel confident using any of these primers.
My guns are not target guns, but rather stock out-of-the-box shooters, no trigger jobs, replacement parts, etc. except for scope sights. With the ARs, I can get one inch five-shot groups at 100 yards on occasion, but not every time like the Internet guys with the "all day long" rifles. The CZ is more accurate than the ARs.
It's worth trying different primers and five-shot groups fired at 200 yards on a very calm day will tell you more than 100 yard groups.