You are correct. It's actually a very interesting story, and has many parallels to today's times...
Euripedes was an alumni of Greece, and a big-time supporter of his team, and their once-popular head coach, Homer. However, that support dried up after one too many losses to the hated Spartans while double digit favorites.
Many consider Euripides largely responsible for the firing of Plato, the once beloved former QB turned OC, and Hermes, the fleet footed ex-player who coached the wide receivers. In an ironic twist of fate, after Homer fired Plato and Hermes, Hermes went to work for the hated Spartans, and beat Homer the very next year, when many considered the Spartans to be out-numbered and out-manned. So infamous was this loss to the Spartans, they made a movie about it and called it '300' because the previously inept Spartan offense could have scored 300 points on the Ancient Greeks hapless defense that day.
That hapless defense had been the pride of the Ancient Greeks and Homer in previous eras. Homer's brother, Hades, was in charge of the defense, for the second time after leaving for a short spell to coach the Persians, which did not work well for Hades, and he returned in order to make Homer feel more comfortable when the new star of the defense, Socrates, left after learning of Hades' imminent return. Socrates left to coach the Ancient Romans,and they soon ruled the new world despite being located in a very weak region of the world.