From what I have seen from split-brain experiments, I am of the belief that by vocalizing our thoughts, we are more fully engaging both hemispheres of our brain through the auditory pathway in addition to the Corpus Callosum.
Pictures tell me that the language area is dominant in a single hemisphere, mostly the left side, with motoric stuff and thinking about words in the front (Broca's area) and hearing in the back (Wernicke's area).
So you may have to use the SLI bridge again just to make sense of what the other side is hearing.
