If you would give us more info we might be able to help more
I've given consideration to using bore paste as a barrel fouling material, guessing the grit from paste may be similar to the residue from fouling.I would runa paste moistened patch over a loaded round for the first shot, then go to my wet patch/ dry patch routine. I wouldn't be attempting to truly fire lap the bore, being more interested in not harming the bore.
I can not get to the links provided from where I am but will later this evening. Thanks.