It's a good point to be considered, adding to the mix of this discussion here Bravo 4, along with the others being mentioned.
I would say that if one of the two I calibers I posted satisfies the op's requirements for the build, it's a small amount of effort made, for the return. A broader compliment in the safe, with wider range of smack down options, for larger tougher game hunted, with less recoil and another round or two in the magazine to count on (depends on the mag). I could be easily corrected on this, but the larger calibers mentioned have FPS that at closer ranges (50 to 200yds) will not have the terminal performance the 338-06 A-Square or the 35 Whelen will, with less powder, cheaper brass and 2700+, 2900+ FPS. Good for a lead gun or back up, on the hunt.