I have Savage 110 in 30/06 and shoot 165 gr's out of it. I also have a Steyr Mannlicher 1903 in 7 X 57, and i shoot 140 grain handloads out of it. The loads I cook for it are moderate velocity, so the comparison to the factory 30/06 and my moderate speed handloaded 7 X 57 will be decent.
I will tell you that the difference is noticable enough that a session at the range with the lighter recoiling Steyr is very much appreciated. I can handle either nicely as they fit me well, but the 7 X 57 is a pleasure to shoot. I know that's not the same as the 7mm/08, but somewhat in the ballpark.