When you deep clean a bore, you do not use any abrasive substance of any kind, only a good solvent, like Hoppe's and a good bronze or brass brush to agitate and help remove the gunk that can be in the bore. It's the combination of the mild chemical action over a few minutes and the agitation of the brush that cleans the bore.
It's really the only way to determine what your barrel "likes". Some barrels like to be squeaky clean, some slightly fouled and some dirty. By deep cleaning and then shooting one round, followed by another, without cleaning between shots, you'll find out just what your barrel likes.
Thanks,
Clark