Horror and the Greeks

Had a thought today in my Greek Literature class-

Might Japanese horror films be in some way the bastard offspring of the Greek dramatic tradition, esp. the "Agamemnon" of Aeschylus? Both the genre and the play have at their center parents who mistreat their children and set off a vicious cycle of bloodletting that shows no sign of abatement at the end of their narratives. Similarly, the idea of positive alternatives of action does not appear in either; Agamemnon must either sacrifice his daughter or betray his oath to join the Achaians against Troy, and in "The Ring" Naomi Watts has to arrange the death of people around her to save herself and her son. Coincidence? Thoughts?