Hi Art,
The difference between these two cartridges, especially when considered in light of most hunting conditions and game is negligible. Before deciding which to add to one's hunting battery one would have to define the weight to attribute to the nuances of the two cartridges. If pinpoint accuracy is critical and hunting requirements can be satisfied with bullets of 180 grains or less, the .308 Win might get the nod. A Nosler manual I own indicates that the .308 Win is one of the two most accurate factory rounds ever designed, the .222 Rem being the other. As the Speer manual indicates, the .308 Win is not effected by short barrels; e.g., 22" barrels, while the '06 is quite sensitive to lenght of tube. Also, the short case of the .308 Win actually is to its benefit, causing it to achieve higher velocities with bullets up to 180 grains.
My Featherweight in .308 Win will achieve 2920 FPS with Hornady 165 grain Light Magnum loads and just over 2900 FPS with Remington 150 grain bullets. I get these ballisitcs and MOA to boot; althought I did have my action bedded, and it has a slightly heavier than a 3 lb trigger pull. Beacuse I have not hunted elk with it as of yet, I have not chronographed 180 grain bullets. However, I do expect them to deliver about 2700 FPS. Remember, this is out of a 22' barrel, ideal for mountain hunting, which accounts for all of my big game hunting. In contrast, an old hunting pal of mine had a pre '64 Featherweight in '06, and he was experiencing much difficulty getting published ballistics out of his hand loads. If I recall correctly, with his 22" barreled gun he could barely get 2700 FPS with 180 bullets.
One of these days I'm gonna get an '06, but as of yet I just can see it replacing my .308 Win. However, for sentimental reasons I am fond of the '06.
Before I bought my .308 Win I honestly thought it was a worthless cartridge in terms of big game hunting. I foolishly thought it was inferior to the '06. However, as I began to see more and more .308 Winchesters in the Rocky Mountain states, including Wyoming where hunters use it for moose, I thought I had better take a closer look. In fact, one old Wyoming hunter used a .308 Win exclusively for all of his big game hunting, and he enjoyed widespread success with it. Then he came into possession of a 7MM Rem Mag and he was forever changed...but that's fodder for another thread. My research (fairly extensive) concluded that it may be the finest mountain rifle caliber out there. Once I realized its utility I bought one. Now I'll never be without one in my hunting battery. It is that good a round!
Good huntin',
E