Keeping the variable the same, using a Powley Computer. Federal 308 & 30-06 cases the estimated velocities for 180 gr bullet at 45K pressure are 2460fps and 2600 fps. there is no doubt that 2600 fps is faster than 2460. the question enters: is it worth it to the shooter. A 308 bolt action rifle has a half inch less length in the action and a half inch less barrel to achieve the same bullet base to muzzle distance, total length savings 1 inch. In several rifle designs, this will be about a pound. the 30-06 is a more powerful cartridge but seeing the number of 308s in the field indicate that a lot of hunters prefer the less length and weight.
Then again more and more guns are made with one action only. Tikka T3 and Blaser R8 to name few. LA Tikka actually has shorter bolt stop, no filler in magazine and more material out of same barrel blank carved to accommodate larger cartridge, making it insignificant amount lighter than short action.