I still think having Iceburg on them is more of a fuck up, no matter who the thieves are. Just imagine that I would own a "Picasso" and somebody who knows that would come to steal it. And then when this somebody has the drawing in his hand finally he see´s my own name on it. Wouldn´t then the bells be ringing "fake"? Having his own name on it just still doesn´t make sense to me.
Yes, the thieves would think that blueprint is a fake one. However, if that blueprint is a real one, then putting your name on it is a brilliant idea to make someone believe that it is fake.