The present note discusses why 'The Hellenic League against Persia' made no thank-offering to Zeus at Nemea after its defeat of Xerxes' invasion, even though it did make monumental thank-offerings at the three other great Panhellenic sanctuaries at Delphi, Isthmia and Olympia. It has been argued that Nemea was the least prestigious of the four great sanctuaries, and while this is probably true, two additional reasons may be adduced: (1) there was no tradition of celebrating martial victory at Nemea, and even if there had been (2) the sanctuary may have been tainted with medism on account of the neutral stance taken by both Kleonai and Argos during the invasion - which, if accepted, will also mean that the close relations between Kleonai and Argos began prior to 480 BC.