Swamp coolers cool air by spraying water directly into the airstream. Some of the water evaporates, absorbing heat in the air.
Water temp is about the same as the air temp.
The result is cooler but more humid air.
Works great in dry climates; not so good in humid climates.
I would be amazed to see one be very effective in Miami (Fla?)
Do the same thing with chilled water and its called an air washer.
Water in the air condenses on the cold water droplets, lowering humidity and temperature.
Popular in textile mills.
Either can be a source of legionella, if not properly maintained.
Cornbelt's neighbor's setup does not rely on evaporation, only on a temperature change in the water and airstreams. The greater the difference in the two temps, the greater the cooling effect.