Pete, I have only just seen this so I'm sorry for the delay. I have fired 1000's of CCI primers both Large Rifle and Small Rifle and have had no trouble at all. Never a single misfire. I also use Federal primers and am not conscientiously aware of any difference between them.
I am not saying that I have conducted accuracy tests or chronographed the different loads to compare one against the other. All I can say is that as far as I am concerned in use in the field there was no appreciable difference.
Hope this helps, even if it is late.
John