Fun fact, the Zizian AI murder cult is similarly obsessed with the idea of two hemispheres being separate brains. They also believe gender dysphoria is a trait present or absent within each hemisphere.

Their long term goal was to abolish sleep by making one hemisphere of their brains sleep at a time, leaving the other to be awake. Supposedly this would allow them to work more and have more sex. In reality, they all simply went insane, committed pointless murders, and ended up in prison.

As it happens, dolphins and whales do this so as to not drown, and they consequently have an underdeveloped hippocampus and take 3x as long as primates to learn the same things.

Long story short: don't mess with your sleep or you might start a murder cult.