Final answer:
A lesion to the otic ganglion would lead to decreased salivary secretion from the parotid gland as it is innervated by the glossopharyngeal nerve linking to this ganglion.
Step-by-step explanation:
A lesion to the otic ganglion would result in a decrease in salivary secretion from the parotid gland. The otic ganglion is associated with the parasympathetic fibers of the glossopharyngeal nerve (Cranial nerve IX), which provides innervation to the parotid gland, facilitating salivation. This ganglion does not affect tear production or eye movements as those functions are related to other cranial nerves and ganglia. Specifically, lacrimation is influenced by the pterygopalatine ganglion through the facial nerve, and gaze palsy would be related to damage to cranial nerves involved in eye movements, such as Cranial nerve III, IV, or VI.