Surely hope being left in Pandora's Box means that there is no true hope in the world?
I just came across a quote from Scholiast on Apollonius Rhodius that states "Delusive Hope, however, whom Prometheus had also shut in the box, discouraged them by her lies from general suicide." (Quoting Graves, the Greek Myths, where he lists this quote at ii.1249, although I'm still trying to run down the original.)
My feeling is that this particular question is really about the false nature of hope, which the Scholiast confirms. Thus I think this is a distinct and useful question.