Final answer:
The statement incorrectly associated with the cephalic phase of gastric secretion is that it controls the rate at which chyme enters the small intestine; this is actually part of the intestinal phase.
Step-by-step explanation:
The statement that does NOT pertain to the cephalic phase of gastric secretion is "It controls the rate at which chyme enters the small intestine." This particular function is a component of the intestinal phase of gastric secretion, which begins when chyme enters the small intestine, triggering a myriad of digestive secretions and coordinating the activities of the intestinal tract, pancreas, liver, and gallbladder. Conversely, the cephalic phase precedes food entering the stomach and is initiated by sensory and mental stimuli such as the sight or thought of food, which through the central nervous system, stimulates the secretion of gastric juices in preparation for digestion. The cephalic phase engages mucous cells, chief cells, parietal cells, and G cells through signals transmitted via the submucosal plexus and is typically of short duration.