Two different bullets that do two different things upon impact. The AB & ABLR are bonded bullets designed to keep the cup and lead core together upon impact. They provide lots of pass-throughs and great blood trails. On the other hand, Berger bullets are designed to come apart/fragment soon after impact and dump all/most of their energy into the animal's body. Both work well, but you need to know the limits of each bullet.
From personal experience: I have had a tough time getting the ABLR to group well in a couple of my rifle. The Bergers just seem easier for me to 'dial in'. But you can't go wrong with either bullet. Pick the bullet that shoots best in your rifle and then live/shoot within the limitations of that bullet with your rifle. I had a custom 6.5-06 AI built specifically around the 140 gr. Berger VLD. No matter what I did, I couldn't get them to group as well as I knew the rifle should. I tried the 130 gr. AB and the rifle took to them like a duck to water. I shot a 300+ lb. black bear at a little over 200 yds with the AB. The bullet rolled him upon impact. He slid down the hill, never moved, and quickly died after a couple of death moans.
All my other rifle love the Berger VLD's and EOL's. Your mileage will vary. Best of luck.