I have no personal experience with Berger bullets, however I can say that I have some trusted L/R Buddies that swear by them (all hand loaded of course). Plus I can say after seeing how the Berger guys handled the long anticipated 300 gr .338 bullet, that they are a stand up bunch of guys. They admit when they're wrong, & make it right. Something you just don't see these days. I would try them out based on the honesty & integrity of thier guys alone if I ever wanted a fragnible bullet. Many of thier guys are L/R/H members. But I'm a bonded bullet fan.
My personal hunting style & Nosler Accubonds go hand in hand. I wouldn't dream of changing to another bullet in the rifles I currently own, for thier intended use, & range. I'm a huge Nosler fan anyway, & they're only 15 min from my house.
You can't go wrong with either one. Both are reputable. Both are proven, & both have thier diehard fans.
Decide what you want in a bullet for its intended use, range, & target, then pick one based on those qualitys.