I know that for years many people have said CCI primers are the hardest, and Federal are the softest, while Remington & Winchester fall somewhere in the middle. I won't put money on this because I have no real way of determining if this is fact or fiction. I have a few revolvers that I have done some pretty extensive trigger work on and designate them as "target shooting only" guns because of possible reliability issues from lightened triggers.
With that said, I have also been doing my own reloading for 30 years now and have used just about every primer available. My personal experience has been no mater which brand primer I use, the gun is either reliable or it isn't. I now have a really good feel when doing trigger work of what is light enough and what is too light, but in the beginning of my "gunsmithing career" there were times that primers would not reliably go off regardless of brand. If I had a revolver that certain brands of primers would not consistently go bang, I would deem that gun to have been lightened too much. I would not simply change primer brands, I would slightly increase how hard the primer is hit.
To sum it up, I ONLY do this kind of trigger work on guns that I use exclusively for target shooting . With carry guns, I shoot a minimum of 500 rounds through them to break them in, then completely disassemble them and ever so carefully remove any burrs that are left, lightly lubricate the moving parts and pivot points with Remoil, and reassemble.
IMHO if a gun does not reliably detonate any brand primer, then that gun is just not reliable.
chief38