...The whole process spooks me a bit. I'd have more confidence in conventionaly lapping the barrel if I thought it was in need to a better polished bore surface. "JB" compound on a bore mop, with plenty of elbow grease mixed in, swabing the bore would smooth it up a bit without washing out the rifling.
...If a slightly more agressive polishing grit was needed, "Pearl Drops" toothpaste would do, worked the same way.