kreyzhorse, I think he means that he's been told that an '06 will shoot flatter.
My experience with both over some forty years of "side by side" use is that there's not enough difference to notice, out to 300 yards--which is sort of an outer limit for most deer hunters.
Leaving out the slow movers like a .30-30, and also the hotshot .22s and Magnums, you can set up for two inches high at 100 yards and figure about dead-on at 200. Generally, somewhere around six inches low, give or take an inch, at 300. That holds for almost all of the "deer cartridges" in the common loadings.
Beyond 300 you're getting into sectional density and all that esoteric stuff that is irrelevant to around 95% of all deer hunting.