The guy's main point is that you should decide which girl you are: the "Consequentialist" (relativist), or the "Categoricalist" (absolutist).

He said: "... I find it helpful, before I consider a dilemma, to at least debate whether I’m in that girl’s situation, and what kind of girl I’m going to be for this particular question..."

This shows that he is the "Consequentialist" girl.