Actually, our minds and memories are particularly receptive to any narrative. Which can also result in problems, both the narrative fallacy ("Our need to fit a story or pattern to a series of connected or disconnected facts" which leads us to overvalue "facts" embedded in a story format) and undervaluing of statistical and other numerical data. I think that particularly overvaluing contrarian anecdotes is context dependent, since we also overvalue anecdotes we agree with (confirmation bias).
http://thobbs.github.com/blog/2012/06/17/you-should-downvote-anecdotes/