This strikes me as a large loophole. A person could commit crimes in another state with tacit approval by their own state.

3. where the judicial authorities of the executing Member State have decided either not to prosecute for the offence on which the European arrest warrant is based or to halt proceedings

However the no double jeopardy is good, but I hope "final judgment" aren't weasel words. I would expect a "final judgment" to be a court decision.

or where a final judgment has been passed upon the requested person in a Member State, in respect of the same acts, which prevents further proceedings;