Like jagmagman points out a lot has to do with the rifles interms of felt recoil. In comparable rifles you won't notice much of a difference until you start shooting 180 gr and upbullets from the 3006. A goodway to combat this is install a recoil reduction pad like a sims, pachmyer, etc. Some production rifles like remington 700's (R3 they call it)come with such a pad installed.

However since nobody asked I will, why the switch?