In my experience with Ginex primers, I notice 2 separate problems:
1) in my sample the thickness varies from 3.23 mm to 3.16 mm. So this explains why some primers sit proud of the shell’s base after seating in the primer pocket. I now invert the larger primers in an old case and lightly file off about 4/100ths of a mm. They now seat flush with the base of the cartridge. Sure it’s fiddly but, what the heck, ya do what ya gotta do, eh.
2) if your rifle has a puny firing pin (like my Savage 219 ) you’re more likely to get a “click” than a “bang” (20% failure rate on the 1st trigger pull and maybe 10% after a retry). On the other hand, I experienced no failures with my Remington 7600 a few days ago.