How about the .308 Palma Lapua, with the small primer. What physical effects would improve the accuracy by changing to the smaller primer? Intuitively, it would seem to slow the powder burn. Also, there apparently is a tradeoff between barrel length and accuracy. Some of the bullet stabilization problems would seemingly be enhanced with longer barrels, say 34",
but they would have to be extremely heavy. Seems like a long barrel, slower burning powder, and progressive twist would be a solution for stabilization and improved velocity. The new bullet designs by Berger are bumping up against this problem.
I've had excellent results using Remington .308 Win. cases with small primer pockets. had to use Rem. 7.5 primers and they did very well. I watched the guy shooting Sierra 200 HPMK's from his .308 full of IMR4350 using these cases and primers set a 600 yard prone record at the Nationals in the late 90's. He put 20 shots inside 4 inches....with aperture sights.
Mild primers were found to work very well in the .308 Win. from an interesting test. A .17 Rem. barrel was shortened then some cases' primer pockets reamed out to hold large rifle primers. Those cases were primed then a BB put in the case mouth. BB's were shot through a chronograph and velocity noted. Some primers produced very uniform average velocities, some very fast but inconsistant and some low velocities that weren't always too consistant. When the primer lots were sorted as to the BB test performance, the mildest ones produced the best down range accurace from a .308 rifle clamped in a machine rest. Even better than match primers producing very consistant medium velocity with those BB's. After learning this, I switched to RWS5341 primers, the mildest large rifle primer made at the time. Even with my .30-.338 Mag, best accuracy at 1000 yards was attained with these very mild primers burning about 65 grains of IMR4350 under 190 and 200 gr. HPMK's; in both hot and cold weather. My last barrel put 30 consecutive shots in about 5 inches when I tested it with those mild primers.
Another "ignition" device was tried by a couple of high power competitors that also worked well. The flash hole in a regular .308 Win. case was drilled out then threaded for a brass tube over an inch long. The tube's hole was about .060" and carried the primer flash up close to the shoulder so the powder would burn from the front to the back inside the case. This also worked very well, but the work required to drill and thread the flash hole, make, thread then install the flash tubes, and finally have to use a 2 inch long decapping pin to push the fired primer out was just too much. Using a good lot of primers did just as good.
From the accuracy levels I've observed with both long and short barrels for a given cartridge, barrel length isn't an issue. If it was, then 30 to 32 inch whippy Palma rifle barrels would never shoot 1/2 MOA at 800 to 1000 yards with good bullets, which they do. They're just as accurate as a stiff 22 inch .308 Win. barrel in a rail gun testing those same 30 caliber bullets at 100 or 200 yards shooting groups with the best bullets in the 1/10th to 2/10ths MOA range that open up to 1/2 MOA at long range.
Virtually all cases shoot bullets the most accurate when a medium speed powder's used for its case size. For example, folks using the .308 Win. to do best use Varget and IMR4895 speed powders for light bullets, IMR 4064 speed for medium and IMR 4350 speed for the heavies. These seem to produce the best push of the bullet into the rifling and velocity control as they leave. While slower powders for a give case can produce higher velocities with heavier bullets, they typically do so at the expense of low velocity spreads. I'll gladly give up 50 to 100 fps in muzzle velocity for a 20% gain in accuracy at long range.
Bullet stabilization levels happen when the bullets are perfectly balanced when they leave the barrel and are spinning at the rpm needed to keep their long axis parallel to the trajectory. Which means the bullets have to be perfect in shape, mass and center of gravity on the center of form....and none of that's disturbed when it's fired. So the barrel's got to be perfect, too. There's all sorts of things that can distort and unbalance bullets; some when made, others when fired.
I don't think progressive, or gain twist barrels are a good idea. A century ago, they worked well for lead bullets, but these days I dont' believe they'll consistantly do well. Comments from top match rifle barrel makers reflect their knowledge that the biggest single flaw in barrels that causes accuracy is an inconsistant twist rate. When the twist rate changes, it moves jacket material around on the bullet and can easily upset its balance. Unbalanced bullets just don't shoot accurate.