Doubletalk is more about deliberately avoiding certain words or terms, trying to limit the thoughts that can be expressed. You wouldn't want to do ungood things would you? That would be double+ ungood.

>It's a play on the definitions of words.

It's more of a play of the emotional meanings of words. We in the US talk about the founding fathers, patriots, freedom fighters.... those same people were regarded as traitors, terrorists, and insurrectionists by the British Empire. The same acts of war, but from a different emotional vantage.