If they agree with her about the interrogation consisting of coercion, the language barrier, the lack of attorney, and in particular the special circumstances of not being informed of being considered a suspect , they may indeed be interested in rectifying the ruling of slander.
I also think this ECHR issue could effect a call (if necessary) for extradition. I think her attorneys are being quite strategic in this aspect.
I suspect being heard by the ECHR will take months. They get over 1000 petitions a year and it may be the case like a regular court where parties submit briefs, perhaps there are oral arguments, etc and It can be however long for a decision. Nothing will be done before Jan, 10 I don't think in terms of resolution unless there was some sort of emergency thing.
But her lawyers knew to change the tone of the news coverage today.
Her lawyers can manipulate the timing but only to an extent, there was a deadline she needed to submit her appeal to them by I assume.
I would think if the Italian court relies on a circumstantial case w little DNA involvement upheld by the Supreme Court there is little the ECHR can do. I would think they will get more involved only bc of the statement to police or the DNA evidence (if she has to submit an appeal later to them, she has a strong case on the DNA, which would raise human rights concern if the Italian system relies on DNA evidence that other European countries reject. This is also her best argument against extradiction)