Final answer:
The incorrect function of the respective cerebellar hemisphere is that the spinocerebellum aids solely in proximal muscle movement, as it is actually involved in controlling both proximal and distal muscle movements related to posture and movement execution.
Step-by-step explanation:
The incorrect function of the respective cerebellar hemisphere is Option B: The spinocerebellum aids solely in proximal muscle movement. The spinocerebellum is involved in the control of posture and gait and receives proprioceptive input from the spinal cord, which affects both proximal and distal muscle movements (i.e., it is not limited to proximal muscles). So, the correct statement about the spinocerebellum should reflect its role in the control of the axial musculature as well as the limb musculature, related to posture and smooth execution of movements.
Meanwhile, the statement about the cerebrocerebellum is correct; it is involved in planning motor functions, including complex spatial and temporal sequences, and in regulating eye movements. Similarly, the vestibulocerebellum accurately regulates posture, equilibrium, and the vestibulo-ocular reflex. Therefore, the incorrect option pertaining to the functions of the respective cerebellar hemisphere is Option B.