Why splitting the brain doesn't split consciousness

So my minds been stuck on the split brain stuff again so I’ve formulated those thoughts to get them out of my head and hopefully add to the conversation.

The person from that 2017 paper actually has a more recent paper out where he and his team tested the somatosensory system of split brain patients. As a quick explanation, they generally replicated what they found in their previous study.
https://www.researchgate.net/publication...n_patients

Several of the same authors are also listed as authors on this paper talking about the current state of split brain studies and where to go moving forward.
https://www.researchgate.net/publication...sciousness

And cuz my mind likes to torment me, I’ve been thinking of a hypothetical: if it is found that the right side of the brain in split brain patients does exhibit a personality, wants and desires, etc., would that be some kind of blow to immaterial theories of consciousness? After thinking and reading on it, I don’t think it would.

I could certainly see issues with a dualist perspective (the idea of a single soul that should be indivisible) but I imagine it could still be argued that the relation to the brain causes weird effects to it in such cases.

An idealist metaphysics though, doesn’t seem to have this problem. With idealism having consciousness as the fundamental, it already presupposes some kind of separation and division so individual beings can exist. Donald Hoffman has talked about the split brain cases as an example of conscious agents creating more conscious agents. And Bernardo Kastrup has apparently mentioned in his book Why Materialism Is Baloney (at least according to a comment he made on his forum), in relation to his whirlpool metaphor, that a single whirlpool can be separated into two sub whirlpools with some careful intervention.

I also got introduced to a different perspective from listening to this episode of the Consciousness Podcast: https://theconsciousnesspodcast.com/epis...-niebauer/
The guest (who studies the left and right hemispheres) suggests that what the split brain experiments is really showing something about the mind and not consciousness. He also talks about how in the West people typically confuse consciousness for mind (basically thinking you are your thoughts as opposed to the one observing them). The guy seems to be more non dual which I don’t fully agree with, but I think he made a lot of great points.

And this isn’t even talking about the kind of evidence of stuff that’s discussed here. So yeah, these are my thoughts and hopefully some of you guys enjoy them.