I've seen std. 165's loose there cores on bigger animials numerous times, and if 165's are going to be used on moose, i'd go with a premium bullet to get more penetration. OR, go with 180's in a std. bullet...
DM
He mentioned he's using Trophy Bonded Bear Claws, a IMHO a Bonded 165 should hold up just fine. That being said, I'd prolly look at a Nosler Partition in 180 for Moose and something heavier if hunting in big bear country...