That makes sense. Someone posted here a few months ago on the Neuroscience behind stuttering. I don't remember his u/. "There are two timing circuits in the brain. The external timing circuit is for external beats/rhythm; when you nod your head to a song, your external timing circuit is aligning with that beat. The internal timing circuit is for maintaining a self-generated rhythm, like when a drummer provides the backing beat for a song. We can see both at work in a finger-tapping task used in several studies. The task begins with the subject listening to a rhythmic beat or a metronome. The subject taps their finger in time with the beat, aiming to exactly match the flow of the beat. That tests the external timing circuit. Then, the audio stops and the subject continues tapping, trying to maintain the same cadence and the original beat. This tests the reliability of the internal timing circuit. Stutterers perform just as well as fluent speakers in the first half of the task, but consistently underperform in the second half. That comes from a deficiency in beta oscillations coming from the basal ganglia. Beta oscillations are brain waves seen in every part of the cortex. When these beta oscillations are in sync, it means the various parts of the brain can coordinate their actions. The internal timing circuit works by having the separate, disconnected areas on the cortex tune into a single set of beta oscillations coming the basal ganglia. But these beta oscillations are weaker in stutterers, leaving the cortex without a single, uniting signal." I guess getting into the rhythm of a tune would help exercise your internal timing circuit (self-generated rhythm) even when the external beat is no longer there.