I don't really understand much of the Zod dislike.
He's one of the big Superman villains, up there with Luthor and Brainiac. Luthor has been done to death, but Zod hasn't. 
Did people complain when Nolan chose to have Joker, Harvey Dent or Ra's Al Ghul in his Batman films? In the Superman world, Zod is every bit as important a villain as they are to Batman.
In fact, he's arguably the perfect Superman villain - pretty much identical to Superman on a power level, but with none of his compassion or love for the human race. They have this unique bond that they're both survivors of the same race, but one is power hungry and military minded whilst the other has been raised on a farm with strong moral values and whose only hunger is for peace and liberty. They are polar opposites in their approach to things, and it's always been this which has provided the intense friction between Superman and Zod ......... yet also a unique understanding of each other.