Every rifle I own shoots differently cold bore clean or dirty. The majority are free floated. My M40, my SPS, my .338LM ,even my competition rifle (6.5) will vary 1" or so from a cold bore shot. That is normal. I am one of those that will not remove copper fouling until it starts to affect the POI. I do like others have said, run a patch or two down to get rid of residue and powder. It usually takes a few hundred (400 or more) shots before the copper affects it. After cleaning it takes my rifles a few shots(8-12) to settle back into their groove.
" The strongest reason for the people to retain the right to
keep and bear arms is, as a last resort, to protect
themselves against tyranny in Government...." - Thomas Jefferson