If the speaking more fluently approach is used with a client, or the stutter more easily approach is used, or a combination of the two is used, the biggest problem is how much to do and what to do when. Nothing is as successful as success. And there is a lot of ice there to melt. In my personal experiences with speech therapy for people who stutter, I have had some very perceptive counselors who I felt did understand my needs at that point in time. In hindsight, if I had the knowledge and the speech pathologist was more perceptive to my needs at that time, ice would have continued to melt at those times.
Counseling is a two-way street.
I do not write of successes or failures. I write of a feeling of communication between the client and the counselor. This is a delicate balance. It can work if the client is open to guidance and the counselor is perceptive of the client's needs. It is not a simple matter.