It's ironic that Achilles is the one to bandage Patroclus’s wound when he’s the reason that wound exists at all, literally and figuratively—Patroclus is hurt both emotionally and physically because of Achilles. It does show, though, that Achilles still has that part of him that is a healer, at least for Patroclus he does. Their argument here is a disagreement about the fundamental nature of honor: Patroclus thinks that honor means doing the moral thing, while Achilles is caught up in the Greek definition of honor, which has more to do with defending your “property” than it does with acting empathetically. Achilles seems to be almost jealous of Briseis, accusing Patroclus of choosing her over him—this suggests that, at least subconsciously, Achilles also didn’t mind that his plan involved hurting Briseis because she was an obstacle between him and Patroclus. Achilles and Patroclus are both worried about Achilles’s legacy, but Patroclus wants this legacy to reflect Achilles as Patroclus sees him and believes him to be. But the fact that Achilles was more concerned about his legacy than the well-being of someone else suggests that Patroclus doesn’t always see Achilles clearly. And as Achilles final comment makes clear, Patroclus not only doesn’t but can’t see the full Achilles: there are terrible things that Achilles has done that he hasn’t told Patroclus about. Finally, Much like he did when he decided to go to Troy, Achilles seems to be putting his honor over his love for Patroclus, since he claims his reputation is the only thing he has—this isn’t true, since he has Patroclus.