Y'all are going to laugh but I can tell you how to fix that. It's time consuming but I haven't had a problem since I added this to my reloading sequence.
I will agree that it tends to happen only with Winchester blue box primers.
At first I gave the blame to the 300 and 375 Remington brass but come to realize that it happens on Federal Nosler and Horn also.
I bought a Forester primer pocket uniforming tool and installed it on my RCBS case mate. I was trying to get square corners at the bottom of the primer pocket. I feel a square corner is harder for the gas to roll up around and come up the side of the primer. If you look at new unprimed brass the bottom corner will actually have a rolled radius
Bertram brass has a smaller primer pocket hole and the Forester tool will not even fit in it I do not do that brass with the tool first.
Now with a square Corner in the bottom I can go to procedure number two. (No laughn)
I put a good size dab of hard as Nails fingernail polish on top of a box and take a toothpick and rim the inside of the primer pocket walls and seat the primer and never look back... I've never had a problem with it affecting accuracy or standard deviation. Water proof too.
I've been doing this ever since I bought my first 375 rum and got a bolt face cut on a starting load. talk about ready to fight a rattlesnake.
I've never had a problem depriming a case. I believe it works as butterbeans crimp dye it just delays the release of pressure slightly. Have I blowed a primer since then yes but if you haven't blown a prime chasing pressure with hammers you haven't chased pressure.
I now glue in all primers Federal CCI Winchester. all of them.
Fingernail polish: as Paul Harvey used to say "now you know the rest of the story".