Do you build yours with extended mag. box? Of course you probably use a throat that matches the magazine. I have a M700VS & for a factory rifle it is a dandy, but the throat is VERY long & loading the bullets out as far a possible to still feed in the mag still gives me a lot of jump, I am sure that is why the Bergers aren't doing well. But regardless, the 168V-Max is doing great.
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No sir, I use lilja blanks. Chamber for .308 is cut 2.825" deep. With it that shallow most name brand factory ammo will stay at or near .5 moa just in case they don't want to reload. It slill gives leway for a brand that is a tad long. In your case, extending the mag may be the best bet if you want to do better. If it's good enough the way it is, that's fine too.
I had to put one in a sako trg-42 .338 lapau, to get the bullets long enough. That was a booger bear until I tried a dremel tool to inlet the stock. The only brand I have messed with is Wyatts. Never tried one on a 700 though since I don't use the factory barrel.