"Do I take this to mean that the bear claws have more stopping power for bigger game? TIA"
I don't think so. The beauty of the Partition is that the front half of the bullet will fragment inside the animal (read shrapnel), causing massive damage in the boiler room while the base carries on through...or nearly through depending on the size of the target.

IMHO this is the huge advantage of the Partition as a hunting bullet. The Barnes TSX, Bear Claw and a lot of others will not fragment, but cut a fairly wide wound channel. You'll still get the game, but not laying in the same track it was shot in. In other words, effective but lacking the bang-flop factor.