Penetration - probably the same
Wound channel volume - advantage goes to the '06
Shot placement - slight advantage to the Swede because of minimal recoil
Effectiveness on charging game - probably the same (this is just theory, since I haven't stopped a Brown bear with either). If it's a matter of stopping a charging 1200 lbs brown bear with either a 160gr or 200gr bullet, I don't think it'd matter much. They're both alike to throwing a pea at an enraged animal of that size. Shot placement and breaking bones or disrupting CNS is what's going to save you.

They'll both probably do an equal job on moose or elk, but I'd rather carry the '06 for animals of that size. I know it's merely an emotional/psychological thing, but it makes me feel a little more comfortable if I have to take a raking shot at a 1000lbs animal that is standing at the edge of the timber.