For speech-language pathologists, holding a stereotype of their stuttering clients has its own set of dangers. Lacking a true understanding of those you treat may well decrease effectiveness. Also, there is the issue of credibility. Many people who stutter are knowledgeable about their disorder. It is doubtful that these individuals will be impressed with trained professionals who present a limited understanding.
Stereotypes are, after all, extraordinarily resistant to change.
It seems that once a categorization schema is set, it quickly becomes ingrained. Probably the best place to start looking for solutions is to study what has been done to combat other stereotypes. Past attempts to broaden individuals' classification schemas have included both education about the groups being stereotyped and exposure to those from such groups. For some, information about groups can expand their classification schemas, even change existing stereotypes to more positive ones. For others, unfortunately, education will have little effect.