I've measured both bullets using the same methodology (acoustic sensors in 200 yard increments out to 600 yards).
Hornady 208 grain Amax
G1 BC = .633 (average value from 3000 fps to 1500 fps)
G7 BC = .324 (valid for all velocities)
Berger 210 grain VLD
G1 BC = .631 (average value from 3000 fps to 1500 fps)
G7 BC = .323 (valid for all velocities)
As an interesting point regarding velocity dependence, I measured the G1 BC to go from .585 at 1500 fps to .664 at 3000 fps. This is in pretty good agreement (within 1%) with Michael's value of .671 at 2950 fps. My G7 BC of .323 only varied from .321 to .326 between 1500 and 3000 fps.
The 208 Amax is a very well designed bullet, and has a lower drag profile than the VLD in this case. Having 2 grains less weight (about 1%), the bullet is able to achieve a slightly higher BC because it has less drag.
I don't think Hornady recommends the Amax for hunting, although I've heard many accounts of them performing very well on game.
-Bryan