Regarding center fire, I think this occurs in stages and it's why predicting the CCB shot is a fallacy.
I have yet to have a rifle that shoots predictably for the first few rounds after a thorough and proper cleaning. I'll repeat myself for clarity... after a thorough and proper cleaning. Many experienced shooters are aware of this and its why we insist upon a blowoff period at the start of each day during an F Class match.
To describe my interpretation, starting with a very clean barrel with no copper present, the first bullet going down the barrel has copper to clean steel contact. Some of the copper is deposited to the barrel after the shot and the next round has contact between copper and steel with some copper plating.
The "coefficient of friction" between the bullet and the barrel changes as copper content inside the barrel changes.
Shot after shot the copper coverage increases in high stress areas of the rifling until an equilibrium is created. In my experience critical mass takes about 3 to 5 rounds with a good barrel.
After these 5 rounds copper foul the barrel, everything tends to settle down and the rifle will shoot about as it should for the next 50 to 100 rounds. After that, and depending greatly upon the smoothness of the barrel and hotness of the load, things tend to degrade and a good cleaning is again required.
In some cases, and typically with not so good barrels, they actually begin to shoot better after not being cleaned for several hundred rounds. This is because the barrel is getting smaller, tighter and possibly even smoother as copper accumulates on the inside.
As for a good predictable CCB shot I think there is no such thing, but you can have a predictable CB shot. If you want a predictable cold bore shot, the barrel should specifically not be "clean".
Just my opinion.