With the usual factory 150-grain "deer cartridge" in a common barrel length around 22", there's not a nickel's worth of difference.
In my 26" barrelled '06 with max handloads, I'd get about 300 ft/sec higher muzzle velocities than a .308. Probably even better with 180s, although I never chronographed them. (Judging by comparative trajectories at my 500-yard range.)
You're from BATFE? Come right in! I use all your fine products!