Final answer:
The statement that does not accurately describe peristalsis is that 'It churns the stomach.' While it does move chyme through the esophagus and small intestine, and is controlled by the autonomic nervous system, churning in the stomach is a different form of mechanical digestion.
Step-by-step explanation:
The statement All of these are true of peristalsis except requires identifying which option does not accurately describe peristalsis. Peristalsis is a series of wave-like muscle contractions that move food through the digestive tract, including the esophagus and the small intestine. However, the churning motion that occurs in the stomach, which helps break down food into chyme, is not peristalsis but rather a form of mechanical digestion. This churning is a different process that mixes food with the digestive juices. Additionally, peristalsis is indeed controlled by the autonomic nervous system.