I am not sure how much Matt Cutts will take the feedback into consideration, but he is asking for feedback on sites that you think should rank well but don't.You can find the form here:https://docs.google.com/forms/d/1Czwk15Yc_-zcnnlvqTuspEnz2Sn3Aw2JxhkWvoVxVS4/viewform
It might be worth filling it in. Other than that, if your competitor has a number of sites ranking it sounds like a perfect opportunity to check the sites backlinks, and see if you can get similar backlinks from some of the higher authority sites.