You are the only mentally challenged here. In your case, the burger is Hancock, which means that Luffy said he would rather eat something else, in other words be with someone else, but not with Hancock. For Hancock, being with Luffy means getting married, but Luffy says he doesn't want to get married. He also didn't give any other options, which means that Luffy won't be with Hancock, and you're just looking for excuses for his refusal, tweaking the translation to suit yourself.