Ultimately, Exekias demonstrates knowledge of and skill in Homeric and elite modes of storytelling to expound on the character and fate of these heroes. More than decoration, Exekias thus uses the imagery of Achilles’ and Ajax’s cloaks to draw on the link between stars and heroes in epic poetry—and the concomitant values and ideas bound up in this connection—to express what it means to be a hero. In this way, Exekias’ decoration also offers new insights into the prestige and place of Near Eastern and Italian luxuries in sixth-century BCE Athenian life, in particular the textiles that were critical signifiers of wealth and identity, while also shedding light on the use of magic in the Archaic world.
Sums up the findings of the article pretty well.