Actually, I think the correct answer would be that you didn't think a degree made you a better person, nor "more well rounded," nor a better pilot, because the truth is, it doesn't.
If one feels that he is "more well rounded" because he has a degree, does that mean that he feels that those that he works with who don't have one are less well rounded? I think it's a valid interview question.
That said, there are plenty of people here who have a degree or two.