As someone who has gone through the program and not educated much in neuroscience I think I can answer this.. when you “hide” or go around the word your going to stutter, you’re not feeding into those neuro reactions in the brain where it likes to get on words. When you keep forcing that word you keep feeding those neurons in the brain making you stutter. So it’s best to go around/over and create new neurons. From experience that’s what I like to think it’s happening in the brain