Yes, reptiles have separate hemisheres. Most animals have brains with clear left/right separation from worms to us. The sides aren’t always called hemispheres but still close enough.
Reptiles do not have a visual cortex, though; they have an optic tectum (homologous to our superior colliculus) but the projection of left side of the world to the right side of the brain is the same.
I just opened a textbook in front of me to check reptile visual wiring and back in the 70s scientists transplanted 3rd eyes onto tadpoles and looked at the frog brains. Inputs from the third eye formed just like inputs in our brain with alternating columns of inputs from the 2 eyes that view same part of the world. So thats most likely the case with this
