I was under the impression the violations of the convention had been successfully argued in the first instance court, where the McCanns were awarded damages and the judge banned Amaral's book & the documentary. It's important to remember that Amaral, not the McCanns, was the person who appealed against the first decision.
The points raised by Amaral in his appeal were;
That the reserve attached to his previous occupation could not be used as the first judge did, to limit his right to freedom of expression.
That the McCanns themselves abandoned their right to privacy, image and reputation by interacting with the media, making them and the case famous around the world and opening the door to discussion of the case, including opinions opposed to their own.
That the McCann's right to be treated correctly in judicial processes could not be damaged by releasing details of the facts of the investigation as they had been released by the Public Prosecutor.
That the McCanns failed to show a causal link between his conduct and the damages they claimed to have suffered. In fact everything they described they felt after the book, the DVD and the interview they had already been feeling before that, due to the disappearance of their daughter.