Do you have a reference link on that?
The first real example can be found here. Don't know if you'd call this saying the "opposite" of what Bush meant, but it sure made him sound like he said something totally different. It wouldn't have made much of a splash, except that every leftist on the planet picked up the edited quote as gospel.
For those who are really anal, you can look up everything you want to know about this flap here.
Dowd is certainly not the only person who does this.