Well, that explains it. Now I am 100% sure it is lead. You port is likely cutting the jacket or plating on that bullet and you get escaping gas melting, blowing, and depositing lead on the way out. It looks like dirty spots line up with the port positions if you follow the grooves.
Things to look out for - groups opening up, extra target holes from jacket fragments or said fragment stuck in the target, complete jacket separation and keyholing. Crown getting dirty in the process would be a symptom, not a cause.
Solutions: find the ammo that it likes (maybe thicker jacket, TMJ, Syntech, etc.), live with it as is, or get a stock non ported barrel and shoot whatever ammo you like (quality). If this gun is used for defense duty, and you keeping "C" barrel, test to make sure stuff like that does not happen with your defense rounds.