The corpus callosum has both inhibitory and excitatory functions, depending on the areas involved and the nature of the task. In humans only 2% of neurones in either hemisphere have fibres that cross the corpus callosum, so there is already considerable functional independence.
McGilchrist establishes that the corpus callosum is a dual-function structure whose inhibitory role is primary, and that interhemispheric independence is the neurological default rather than the exception.
, The Matter With Things: Our Brains, Our Delusions and the Unmaking of the World, 2021thesis