What is the primary purpose of the 'Demonstration' mission in amphibious operations?

The primary purpose of the 'Demonstration' mission in amphibious operations is indeed to serve as a show of force without the intent of engaging in combat. This type of mission is designed to create a psychological impact on the enemy while showcasing military capability. It sends a message about potential offensive actions, helping to deter adversaries or influence their decision-making without necessitating an actual conflict.

By exhibiting military assets and troop movements, a demonstration can also gather intelligence on enemy reactions and preparedness, which can be valuable for future operations. This strategic display helps in reinforcing control or gaining leverage in a particular area without escalating to full-scale offensive operations.

In contrast, establishing strategic control, extracting forces from shore to ship, or committing to long-term deployment are not the defining intentions behind a demonstration mission. These alternatives reflect different aspects of military operations that focus on direct engagement or sustained presence, rather than the subtler approach of deterrence and psychological influence through demonstration.