i dont put too much stock in primer's being a major accuracy factor. while it plays a role in benchrest type stuff its a very minor thing at best. far more important is using good quality bullets with consistant powder charge and consistant over all length.
saturday i shot this group. top three were the first few rounds then i made a sight adjustment dropping 1.25inches then fired 4 more. range was 300yards open sights rra National Match AR15.
primer used would get me laughed off any competition circuit. i was using wolf .223 small rifle primers...
good primers are a part of accuracy but along with the origin of the brass one of the least important.
as for primers causing eject issues it is entirely possible as some may not have enough energy to reliably ignite certain powders. this can lead to incomplete ignition.
some primers may have too much power and cause higher pressure causing the action to operate more vigourosly.