Final answer:
The superior colliculi help coordinate responses to visual, auditory, and somatosensory stimuli but do not primarily control conjugate vertical gaze; this function is managed by the oculomotor complex.
Step-by-step explanation:
The statement false. The superior colliculi are involved in integrating sensory information and coordinating the movement of the eyes in response to stimuli such as sound or touch. They contribute to orienting movements but the control of conjugate vertical gaze is predominantly mediated through the oculomotor complex, specifically through the oculomotor nerve which innervates the superior and inferior rectus muscles responsible for vertical eye movement.