In my opinion, LHP and RHP cannot be defined abstractly, in terms of just one aspect of the principles or aims of a particular path. Instead, I regard LHP and RHP as groupings that have evolved spontaneously, and whose meaning is mainly social and historical.
The cold plate causes the moisture in the warm air, which is inside the jar to condense and form water droplets. This is the same thing that happens in the atmosphere. Warm, moist air rises and meets colder air high in the atmosphere. The water vapor condenses and forms precipitation that falls to the ground.
Precipitation, the next phase of the water cycle, is water that falls from the atmosphere in the form of rain, sleet, snow, hail, or freezing rain. Clouds are required for precipitation because the raindrops are the drops of the clouds that have condensed enough water to begin falling.