Niles, that is a good point. I have never been a big fan of CLP in the bore (or for anything actually). I want an actual solvent / bore cleaner to use when cleaning the bore for 2 reasons: mainly a solvent made to specifically clean the bore will work faster with less strokes of a cleaning rod and second you will be able to fully remove the solvent when the cleaning process is over. CLP and similar "multi use" liquids are designed to naturally stay behind and typically need to be removed with a solvent or wear, hence the last two letters Lubricant & Protectant. If you could easily remove the liquid with a few passes of a patch then it is not going to lubricate or protect anything very well.
My clean cold bore shots are never much different than my fouled cold bore and I attribute this to my cleaning regiment.