[Unclenick]

It's a maximum difference. We are used to primers with about .0018" average difference between the primer and pocket. That's based on the Remington primer pocket and primer specs I've seen. But the maximum, even using Remington's tolerances is .0029" difference. So it sounds like that's what you've got.

The primer pocket profile cutter made for the Wilson trimmer does the best job of providing a smooth entry for a primer. In part its because of the radius it puts on the lip of the pocket. But you do need to own the Wilson trimmer to use it and it is slow work. However, I've had tight pockets from IMI pistol brass before and found that running them through my Dillon primer pocket swager significantly eased the problem. So that's a possible option for you, too. The hand reamers may work out for you to. I just haven't tried those for this issue since I own the other two tools I mentioned.