Respecting the Naysayer

Is it really that important to represent the other side of an argument fairly when writing your own argumentative paper? Gerald Graff and Cathy Birkenstein happen to think so, and make a sound argument for it in their book They Say I Say: The Moves that Matter in Academic Writing. In their chapter on introducing a naysayer to your argumentative paper, Graff and Birkenstein assert that even though it is appealing to make little space and support for opposing views to your argument, it is your duty as the author of the paper to represent them fairly (Graff and Birkenstein 2010, 86).