Earlier quoted context omitted.
There is, frankly, no such thing as a "god hating atheist". Those two notions are incompatible. Consider, for example, how little you (probably) care about fairies. Are you a fairy hating afairist? You may find an Atheist that says something like "If god does exist, it's a dick". but that's not really hating god but rather pointing out the silliness of believing in a supernatural all powerful being that is good which…
I'd consider it the difference between answering this question with "I don't have any" and "I have atheism" "I don't have any" is the one that doesn't care, vs "I am atheist" says you care a whole lot about god. You don't identify as afairist at all. If you do, you're almost certainly a fairy hating afairist
I would not call myself an atheist if it weren't for the fact that theism is thoroughly and deeply ingrained in american culture.
In china, most people are atheists, but they don't really identify as such. It's simply the default. Were I in that circumstance, I certainly would feel exactly the same way.