“Pinkeye” has two definitions: bovine pinkeye is a specific bacterial disease that only affects cattle; otherwise, “pinkeye” is a generic synonym for conjunctivitis.
Dogs can’t get bovine pinkeye, but they can and do get other types of conjunctivitis. It may just be less noticeable in dogs because the white sclera of their eyes isn’t as prominent as humans’.
Since Ben Garrison is the one human whose output most closely resembles AI, I imagine this is him having an existential crisis.