As an observation, people "east of the Mississippi" have more trouble with the small primers. I have no idea why, and it's not a serious scientific study, just an observation of who complains. But these are serious, good shooters.
Also true is those in the Midwest seem to find drilling the flash hole out close to .080 helps. And I've always figured a hotter SR primer could help -- after all, the physical size of the primer isn't the issue.
Not a universal observation, some east-coasters have success with the small rifle primer, and some west-coasters don't. Worse, several Australians have reported issues with small primers in larger cases, with the 6.5x47 being right on the edge. Not sure if they're east or west of the Mississippi...
Then there is David's point that the 6.5x47 Lapua is just a bit too short to work well (with some reamers) when the is neck taken up to .308.
A lot depends on your particular reamer. The "history" of .30x47 means that more than those two numbers can be at play.
For obvious reasons I don't recommend it, but I have a "fixture" that I use with a radial arm saw & non-ferrous blade to shorten up cases -- I have a .30x44, and worse, a couple wildcats of about 2.500 length, based on the .404 Jeffery, which is 2.875 long. Taking off .375 with a case trimmer is just no fun at all.