Free: Contests & Raffles.
The only problem I could see is a lighter bullet would lose energy faster on impact than a smaller one.
My 06' with a 150gr bullet leaving the muzzle at 2950fps has more foot pounds of energy than the same bullet in 180gr with a muzzle velocity of 2750 fps all the way out to 400 yards!
I'm not sure I agree that you have to shoot bigger bullets to anchor an animal. A well placed shot in the shoulder w/ a bonded bullet or something like a barnes will anchor it just as well as a bigger bullet. In fact it's the shot placement that accounts for 95% of it. A lung shot regardless of bullet size is likely to result in the bear making it at least a short distance.
pick one that shoots well.