These days, except in benchrest competitions, an accurate match rifle is a half-moa gun. An accurate match pistol is a 4 moa gun. You just don't see primer differences at the pistol level of precision.
The reason for the above is that errors that contribute to group diameters don't add directly. The odds of a second random error source adding to another random error source in the exact same direction away from the mean POI at any given shot are small, yet it would have to do that on every shot for the error to add directly. It works out that radial standard deviation of group sizes add as the square root of the sum of the squares of the errors different sources make in isolation. So, if a bad primer choice made a 1/4 moa error in what was normally a bughole load for a benchrest gun, it would make a 0.5 moa load for a match rifle into a 0.56 moa load when added to the existing 0.5" error (√(0.5²+0.25²)=0.559). It's not a big change, but you can measure it with a large enough shot sample size. If I add that 0.25" error source to a 4 moa group, it becomes a 4.008" group, and would require test group shot counts in the thousands of rounds to be sure it was a real difference, and thus, it is invisible to us for all practical purposes.