I've not tried Remington primers in many years, Mattsbox, but neither the CCI small nor large pistol primers will feed reliably through my Dillons. Years ago, the American Rifleman's "Dope Bag" did a piece on primer strength or "brissiance". They concluded that Winchester's were as hot as you'd likely encounter and therefore any loads worked up with them could safely use one of the other makes without pressure concerns. At the time I was shooting an AR15 across the course and was pushing the envelope to some degree to get desired velocities out to 600 yds....and was interested in load pressures.
From that discussion and several loading experiments since, I've come to rely on Winchesters for 99% of my needs, and it's good too, since they are most often available here in Louisville at the big semi-annual gun shows at competitive prices. Too, I've yet to see, in my own experimentation, where primer brand made any difference on target. For me that means group size out to 250 yds with a rifle and 50 yds with a handgun. Those that bench rest and are interested in the last 1/16" of group size, primer type may make a difference, and more power to them.
I load all of my handgun needs on the two Dillon 550B's mentioned...but load for the rifles on an ancient Herter's #3 and a more modern Herrell turret. This last, is a precision piece of equipment, well worth the $250+ I spent on it, and gives less that 0.003" runout on loaded rounds. The ancient Herters #3 gives me 0.004-5"...in other words, not enough to matter out to 250-300 yds!
Best Regards, Rod