This method has gone in and out of fashion repeatedly. Every time it comes back into fashion, it's heralded as a new discovery.
New or not, it's always right. Rhythmic movement helps not just stuttering but all sorts of neurological 'unsyncings' including Tourettes. As I get older I'm having occasional bouts of vestibular problems, and I notice the same rule. On days when the semicircular canals are frisky, walking settles them down. This even applies to moods. Walking is the simplest cure for depression and anxiety.
We're meant to be steadily moving and making all the time, except when sleeping. Labels: coot-proofing, defensible times, Grand Blueprint, TMI
The current icon shows Polistra using a Personal Equation Machine.