Exactly. I found that everyone has something interesting to say, although most of them do not even know it. By taking "genuine interest" you'll help them find something they were not really aware of, and then all you have to do is shut up. They'll talk for the whole time and end up finding you the most interesting person around.
I'll remember you as a pleasant person but not the most interesting one. I've found that the most interesting people tend to talk a bit more because they always have something interesting to say, either stories or insights, and people want them to speak more.