If you use a good bore cleaner, you'll never need anything else. Break Free has something in it to dissolve copper. If you don't believe me, try it on a tarnished penny. I usually use Tetra-Gun copper solvent on used guns that haven't been properly maintained. I don't go for super-clean, only to get the bulk of the fouling out.
My opinion is that the VAST majority of 'cleaning' that goes on is detrimintal to the bore. If you aren't using corrosive primers, it doesn't take much to do the necessary amount of cleaning. One wet patch, a few passes with a nylon or brass brush. Another wet patch, dry patch, wet patch, dry patch, and then one more wet patch.
Before you shoot it next time, run a dry patch down the bore. Letting break-free sit in the bore between shooting sessions is all the copper removal my work guns need.