[mavracer]

It's gonna take a very good shot and a good rifle/barrel to truely appreciate the accuracy difference. This isn't going to be apparent in typical big box store hunting rifle/scope combos. For those rifles most shooters won't even shoot enough to get an idea which was more accurate.
As to the brass tacks competative differences guns and ammo have evolved a lot ~50 years ago it took a 300 Win Mag to the avaliable bullets fast enough with the avaliable powders to reach 1000 yards accuratly. Heck now they're doing it with 5.56.
The only places 308 is still king is where 308 is the only thing allowed anymore, 6.5s have taken over. The 308 and 30-06 are both still very capable rounds and the technology avaliable has increased this capability as much as everything else. Sleek new bullets and better powders have given even more range than anyone would have believed years ago.

Nosler's new 190gr accu bond long range should easily be able to be pushed 2750-2800 from a 26" barrelled modern bolt 06 with it's .640 BC this keeps it supersonic to ~1500.