The issue is that many SLP’s only receive training in articulation and swallowing disorders, all involving the mouth area. Many people who stutter have developed “mini-PTSD” around talking to other people, with automatic fear response in your core area (unwanted valsalva maneuver) and unwanted cortisol/amygdala activity (fight, flight freeze response). Unless the SLP understands those issues, going to them will be as effective as asking any regular hairdresser to treat your hair loss. There are SLP’s who have the required knowledge and training to address fear-related blocking stuttering, and many have free information available online.