They're not really part of the "adversarial" quasi-Manichaean battle-between-good-and-evil storytelling tradition. They're more like something out of a Greek tragedy
Not any Greek tragedy I've read. And I've read all the surviving words of Aeschylus, Sophocles and Euripides (not as impressive as it sounds). The 'adversarial' tradition is something easier to connect to Greek tragedy than zombies, honestly - case in point:
The Persians, a rather unsubtle bit of schadenfreude about defeating the Persians at Salamis.
You could argue that zombie stories are similar to these tragedies in the use of hubris for human characters but I'm really having a hard time understanding the notion they are 'like something
out of a Greek tragedy'.
Those kind of "blank wall villain" stories used to be quite successful as audience pleasers in other sci-fi or disaster movie contexts, so it maybe can work for AMC's show too.
Probably. I personally find the conventions of zombie films a trifle trying, though. The whole 'look at this jerk AND NOW HE DIES' horror film cliche has never, ever been to my taste. Vampires themselves can be the vehicle for our lusts and fears and revulsions, they can be about forbidden love, the boredom of immortality, ravenous desires, and so on.