This is great!  I noticed this many years ago and would start anything, start repetition, any sound to just start, usually a breath out with sound and then let them morph into the sound or word I was looking for when I could...but feeling the fear and doing it anyway was a big part of the changes I went through and I'm really glad to read this!    That said, people can kind of feel when they might be deceived to try to reach a certain outcome and that can crumble their trust and views on this and I think it's ok to be honest that we would love a cure but though none exists, the worst of the stutter is reactionary or exacerbated through our resistance and can get much much easier over time.