A better analogy might be the coffee shop advertising "Calorie Free!" and then turning around and saying: "The ingredients list says it has sugar, only a low-IQ person would think sugar has no calories". Or more concretely, if the game isn't skill based -- don't call it skill based.
Or continuing the analogy, the strategy stuff is like putting up a poster in front of your coffee shop with: "How you could get a FREE COFFEE: SMILE WHEN ORDERING THE COFFEE" to lure customers in, all the while having a no free coffee policy ("..but they COULD get a free cofee").