For mules, whitetail and pronghorn, either will work just fine. If you hunt elk, it is going to take a good bullet and shot placement.
I hand load for hunting, using premium bullets. I have hunted the last 20 or so years with a .25-06 for deer elk and bear and it has worked fairly well. I use Nosler Accubonds for everything, because that is what the rifle likes. I did take a deer with a trophy bonded bear claw, which worked perfectly.