>>14976294they dont. Rorschach comments that maybe he is bc he's never seen him in a relationship which doesnt mean anything. Ozy doesnt fit Rorschach's black&white world so he can't see him as merely uninterested or asexual.
Also, Moore despised Rorschach which was made as a critique of Ditko's Mr. A. He isnt the hero of the story in his view, but shines as he's the only unmovable object in the whole crazy plot. Moore used him to symbolize the old black&white morality as unfitting of this new grey world -- ozy's burden.