Comic book reading aside, we will also get the "Zeus father" origin for the cinematic Wonder Woman apparently. So that three-year run actually will affect the version that reaches millions of people beyond what the 75 year long history of the comic will.
In my opinion, changing her parentage was merely a cosmetic change to differentiate his run from other writers', (something nearly every writer of every comic character has done, nothing groundbreaking there). It wasn't a real plot point in the story (aside from making Hera jealous, a story which mythology has already done a fine job of telling). Diana already had a "family" of gods since those were always her cast of characters; it was always natural for Diana among the DC heroes to have dealings with Greek mythological beings.
I enjoyed Azzarello's run for a few moments where Diana's characterization shined through. I think he "got" her personality. I *hated* the way he wrote the amazons, and I don't know if that was editorially mandated or not. Wonder Woman just doesn't make sense as a character if she springs forth from a "Paradise Island" with a brutal society that takes advantage of men. She is supposed to counteract brutality! The amazons are supposed to show an example of how humanity (not JUST women) can achieve greatness with the absence of war.
I wouldn't have minded the change to her parentage had it been more relevant to the story. As we all know, it was a major bone of contention, removing the one thing about Wonder Woman that made her unique amongst all super heroes-- the fact that she originated and gained her power from a feminine source. But hey, it sold a lot of comics so it must be right. Never mind that in the 1940's she was selling millions...