Most Greeks are fairly devout, and even the ones that aren't at least respect the traditions. Not too sure about the Norse, but it doesn't really seem to work that way.- - - Updated - - -After Hercules (unspeaking monstrosity), Hector (perpetually oldmanning old man) and Jason (asshole who got through life using his friends) I think Odysseus might be safer as a genderbent. Though i don't know what that would make Penelope...
EDIT: Also Perseus being unfavourably compared to Shinji.Though at least Chiron and Achilles came out more or less alright?