"Even small air conditioners can consume thousands of watts per hour"

The narrator obviously has no clue about physics. One watt is one joule (unit of energy) per second. Total energy consumption would be measured in joules; the rate of energy consumption would be measured in watts; the rate of change of the rate of energy consumption would be measured in watts per (time).

Lithium bromide is no safer than other coolants used in air conditioners. http://en.wikipedia.org/wiki/Lithium_bromide
Bromide is harmful because it displaces Iodine and interferes with the production of thyroid hormone (among many other ways it can poison you). Lithium is used as a psychoactive drug. Lithium was used as a food additive in the USA until 1948 when manufacturers were forced to stop adding it to food. http://en.wikipedia.org/wiki/Lithium_pharmacology#Lithium_and_culture

The device in the video is far too bulky to be adopted in an urban area and provides the same net impact on the heat of the surrounding area as running an ordinary AC from solar panels.