appropriation and split brain (corpus callosum)

If the notion of appropriation that I stole/borrowed from Aristotle/Aquinas is correct, then perhaps one way to respond to split brain objections to the unity of the soul/psyche is to say that one sub-organ of the brain normally appropriates the operations of the other(s), and, under very unusual circumstances, may be prevented from doing so.  Hence the zombie-like rebellion of the side not associated with my awareness (the awareness of the one -- or the "one-half" reporting to the scientist)