Why is ice at 273K more effective in cooling than water at the same temperature?

Ice at 273K is more effective in cooling than water at the same temperature because between water particles and ice particles at the same temperature i.e., 273K or 0°C , ice particles have comparatively less heat energy(or kinetic energy) than water particles. Hence when ice is used to cool any object(which is to be cooled), then there is formation of energy gradient in which ice has less heat energy than the object, so heat energy flows from the object to the ice (energy flows from higher potential to lower potential) and as a result that object cools down. In case of water there will be cooling of the object but it will not be as effective as ice.