Bergers, especially the hybrids like to be jumped. I don't take them under .030 and most shoot better around .060-.090. This may be limited by your cartridge, magazine and freebore, but in a BR it should not be an issue at all.
Mark Gordon has a great article on this. All this old man BS about jamming into the lands or right off the lands is just that. They proved the more jump the better the gun shot.
Scott Satterlee has also done some testing with ultra long freebores and has found they are much more forgiving to shoot.
If you don't want to dick around with seating depth, you could just get a tuner as well.
With a BR, BRA, Dasher, GT....... Alpha/Lapua Brass, Berger hybrid, Varget/N140/H4350. Jump the bullet .030-.090. Pick a velocity and go to town. If you aren't shooting 3/8 groups BEFORE bullet seating testing, something is wrong in your reloading process.