Why might it be beneficial for the brain to be connected to the contralateral side

I think it is beneficial for the brain to be connected to the contralateral side of the body because of the position and connection to the brain that our eyes have. Because light from the right visual fields strikes the left side of the eye and light from the left side strikes the right side of the eye, the connections allow visual information from both sides of the body to reach the brain. 

Cellular respiration is defined as a metabolic reaction occurs in cells, in which chemical energy from glucose is converted into adenosine triphosphate (ATP).

The alternative to glucose based cellular respiration is fermentation in which energy is produced from the oxidation of organic compounds, such as glucose from within a cell as "electron acceptors".