I call BS on any claim like that. While it's a possibility that they may increase power, whatever increase that is will be marginal and the other variables involved (ambient air temperature, who's doing the dyno pull, etc) will overcome it, so it's impossible to say they provide more power and better mileage.
Basically, a spark plug is a spark plug. The only real benefit to a platinum/iridium plug is the longer life, and they are more durable when used in applications with high voltage ignition systems. The multi tipped plugs are a joke, everyone knows that electricity takes the path of least resistance to ground. Meaning, that if say you have say a 3 tip plug, unless you have all three tips gapped EXACTLY the same, the charge will arc to the closest tip.
A copper plug gapped correctly will provide the the least troublesome operation life. I prefer Autolite copper cores over Champions because of some bad experiences with Champion plug construction, but when gapped at regular intervals, either will work very well in just about any car.