K-Hunter I dont have a 30-06 but my bud does and 130's and 125 BT is what he uses. He shoot 4-5 deer a year with the gun and never has a prob. He does along with myself hunt out of a stand mostly so maybe hunting like that gives us a better chance for good bullet placement. He usually aims for shoulder or right behind. On the shoulder shots it usually breaks through closest shoulder and the bullet go to many pieces doesnt exit the other shoulder. The rib shots just about all leave somewhat of an exit hole, usually the exit side rib cage is completely purple and most of the engine room turns to mush.
Ive seen enough deer killed with that combo to say he can use it with confidence. I dont see how anyone can assume that the heavier rounds would be more accurate, that is impossible to assume.