Power is the ability to move objects through a given space in a given time.
Here on Earth, 1 horsepower is the ability to lift a certain amount of weight (330 pounds), straight up a certain distance (100 feet), in a certain amount of time (1 minute).
1 HP equates to about 740 watts, so a 360 watt motor won't carry you around like a 1,000 watt motor, so when they say "outperform" I'm skeptical, although going through the gears could enable a higher top speed than a hub, depending on voltage and amps being used in the hub.
Given the choice, I'd rather have a 360 watt brushless type hub, for the efficiency, quiet operation and easy installation, than a chain drive. I personally run a 36 volt 750watt hub on one bike, and a 48 volt - 2500 watt 5305 hub, on the other.
I like electric bikes, so if the kit's cheap enough, I'd use it. Batteries are a whole nuther subject.