#1/Check out this on YouTube- Cooper Firearms Raptor.....it shows the factory test firing of a Cooper .308.....I can't tell what barrel contour, but they apparently see rapid fire as not an issue with accuracy.
#2/ Even though the scope has parallax adjustment....did you verify none was present.....the P/A markings on scopes are notorious for not being accurate.
#3/ What do the bullet holes look like....nice round holes that appear smaller than the caliber....or elongated? Have you checked the twist rate stability table on Bergers website that the bullets are in-fact OK for your twist rate?
#4/ You have three 5/8" groups out of 9, I don't think it's the load, either your cheeking harder on some, pulling the trigger inconsistent (pulling on edge and not center) or don't have parallax all out. Slow moving mirage will move you some of that 1-1/8" as will a missed light breeze -especially a reversal. You need flagging to eliminate these possibilities.
I have no doubt that one shot after another is probably not detrimental to accuracy, but it cannot be too terribly good for the throat. She heats up pretty quick, but with less mass she also cools quicker too.
I did in fact look for parallax and you are right, I was shooting on a measured 100 yard range {I know this because I own it} yet the focus knob read a little less than 100 when it was set right.
Bullet holes appear to be perfect small round nice punch outs with no evidence of yaw or destabilzation of the bullets.
I am definitely not above some sort of flinch or other shooter induced error, but the same shift every time??? I guess it is possible to be consistently inconsistent. I'd like for it to be this...then I'd know the rifle and scope was okay!!!!
FWIW, one thing I have noticed...the barrel has gone from having to be soaked overnight in Shooters Choice to several strokes of a brush and wiping clean with a patch. I intend to shoot it some more tomorrow, will have a range report soon after. Thanks again for all the info fellas!!!!