Final answer:
The statement is false because peristaltic contractions are specific to smooth muscle tissue and do not occur in skeletal or cardiac muscle.
Step-by-step explanation:
The statement that 'all three types of muscle demonstrate peristaltic contractions' is false. Peristalsis is a specific type of wave-like muscle contraction that primarily occurs in smooth muscle tissue, which is found in the walls of the gastrointestinal tract and other internal organs. Although peristalsis is a critical characteristic of the smooth muscle that aids in moving food through the digestive system, it is not exhibited by the other two types of muscles.
Skeletal muscle is under voluntary control and is responsible for overall body movements, but does not perform peristaltic movements. The third type, cardiac muscle, does contract rhythmically to pump blood throughout the body, but its pattern of contraction is distinct from peristalsis and specific to heart function.