"The Atheist Delusion" by Ray Comfort

Your comment here doesn't make much sense.  The distinction between different types of atheism is a conceptual distinction, and as such is mental in nature, but that doesn't make it not exist.*

You could argue that the conceptual distinction being made doesn't hold water or isn't coherent or something like that, but then you should actually explain why it doesn't hold water in your opinion, or why you consider it to be incoherent.

Personally, I think that the conceptual distinction makes sense, but I'd agree that there are some serious problems with the way the distinction is presented on Wikipedia.  I won't get into the technical aspects of that unless someone is really interested in a conversation about it.  But the distinction at least makes sense on the "negative" side at least with regard to people having no religious beliefs about deities where they've not even encountered those beliefs enough to give it much thought, and perhaps where someone has encountered the beliefs but manages to remain indifferent towards them.

*The only issue there would be if you're using "exist" in a more restricted way to refer to extramental things only.