sparky: I have wondered if giving up cursive writing would be detrimental in the long run for the mental and emotional health of a child and eventually for the maturing adult. Personally, I think it could be disastrous for a child's self-communication skills and ability to communicate with others clearly....
You are right on point, Sparky
The act of cursive writing aids in brain development. To a large degree.
The notion of what you call self-dialogue could be part of what it is that cursive writing encourages: communication between the right and left brain hemispheres. Self dialogue would arise out of whole brain thinking/functioning.
Some interesting articles:
What’s Lost as Handwriting Fades (pdf)
A study of handwriting production:Educational and developmental aspect (pdf)
(I haven't fully read the above papers...they are now on my list of "to read". Right/left brain functioning is one of my favorite topics)
And a couple more...this one is about the benefits of cursive for dyslexic students:
And...
https://www.memoriapress.com/articles/top-10-reasons-to-learn-cursive/
*I am still thinking about your idea of "self dialogue" and how that relates to the "idea generating" component of increasing right brain dialogue with left brain tasks. I think your notion fits quite well.