While many folks feel primers that are the most consistant (uniform?) produce the best accuracy, I decided years ago to try some that were the mildest.
A friend did some tests shooting BB's from a 17 caliber barrel using primed cases only. The BB's were shot through a chronograph recording their speed. Hot primers shot 'em the fastest, mildest ones shot 'em the slowest. Some of the medium ones produced the most uniform velocity.
Those shooting the most accurate in loaded ammo were the mildest ones. Even if their velocity spread shooting BB's was not all that great, they seemed to more uniformly ignite the powder and produce the lowest muzzle velocity spread.
I've used RWS 5341 primers wearing out three 30 caliber magnum barrels for long range matches. Tried a couple "match" primers and also the RWS magnum large rifle primer, the hottest one made. None shot test groups at 1000 yards as small as the mild RWS ones.
I and others have also got great results from Remington .308 Win. cases pocketed for small rifle primers. Remington 7.5's did very well indeed. Watched a guy set a National record using this case and primer holding 48 grains of IMR4350 under a Sierra 200-gr. HPMK. He put 20 record shots in a 4 inch group a bit off center in the 6-inch X ring at 600 yards. One shot leaked out for a 200-19X score. Not too shabby with aperture sights, an almost worn out barrel and small, mild rifle primers.
Nowadays, I'd recommend Wolf primers; they seem to be the favorite of follks shooting accurate rifles off their shoulder in competition.