Hopelessly naive. An air conditioning system is used to cool spaces yes. But where I live, it is just as important to lower the humidity. This device will not help with that.
Naive? This is a proof of concept, and it makes people feel cooler. Dehumidifiers use significantly less power than cooling. The peltier they're using with a 30% duty cycle would require about 30W per person.
Dehumidify a typical room: 500W
Cooling a typical room: 2000W