Yeah, thanks for expanding. What do you mean by saying that god being conceptual is not sufficient?
I am just using 'conceptual' to refer to Gods that you do not believe to be real entities. And 'exists' to refer to entities that really exist.
As far as I can see, that is a pretty clear distinction. What you seem to be inferring is that there is some other category between concept and real, I don't understand what you mean by that.
Do you believe A: Cthulhu (given that was the example we discussed before) is real? As in does that entity exist in this universe?
Or B: Do you believe Cthulhu does not exist as a real entity?
If your answer is B, then you are atheist in relation to Cthulhu.
(Just for the sake of clarity, I am inferring no irreverence whatsoever by identifying some ideas as conceptual. Nor do I understand I'm afraid how seeing something as conceptual could be interpreted as irreverence.)
I do mean to infer that there are other categories between what you're defining as "concept" and "real", insofar as there are different forms that "reality" can take, and that it can overlap with concept in many cases.
The way I've thought about it is that there are broadly two types of reality: subjective and objective. Objective reality is like a rock. It exists as an object regardless of whether a subject is regarding it. Subjective reality, on the other hand, is the reality that subjects experience. All human beings can only perceive subjective reality; that is, the realities that we perceive can only ever be subjective to our own biases, experiences, etc. However, certain subjective realities may be closer to the objective reality than others. A person who hears disembodied voices, for example, is experiencing a reality that is exclusive (most likely) to them; it's still a reality, but not one that others experience.
These two broad terms, however, have their own, still being conceived of, subcategories. For instance, another type of subjective reality involves agreement among people about a certain thing's qualities, such as monetary value or political boundaries. These have no objective existence, and yet they still exist.
After regarding the various ways in which the Modern English word "God" is applied, whether meant figuratively ("Stan Lee is my God") or as a legitimate title ("Woden is a God"), I've come to narrow down the status of Godhood into: anything which has been deified. That makes it a subjective quality dependent on a human mind. In other words, Sun is a God because She's one of the most universally worshiped figures in human culture, but was not a God before She started being worshiped. Because that's the way in which I regard Gods, I'm not an atheist. Atheism, under this definition, would be the lack of any deification.
This, of course, doesn't really help in determining the objective existence of those Gods that are what people these days might call "spirits", but which I prefer to call "wights" (because I regard "spirit" as a reference to a person's attitude), such as Woden, Indra, El, etc. Regarding these Gods, I'm an agnostic polytheist in that I softly believe they're there but fully acknowledge that I don't know, and thus don't argue this belief as any sort of truth. Or rather, I speak, think, and act as if they were there, so whether they actually are or not doesn't really effect my life. That's just how I am naturally; it's not going away and I see no real benefit to getting rid of it that would be worth the potential mental damage of such an ordeal.
Short version: I do not regard Cthulhu as a physical entity. However, despite what Lovecraft has stressed, he has come to be worshiped by people who think he is; thus, this fictional being has become a real God.
And yes, if this seems like a lot of mental gymnastics, that's only because it is. I'm still building all of this up into some sort of vernacular that's consistent and precise, as I largely believe that most of the miscommunications that happens between religious people and non-religious people, atheists and theists, lies in the aforementioned problem with the current state of the vernacular. I've seen the paradoxical term "theistic atheist/atheistic theist" come up now and then, but I don't really feel like this accurately represents me at the moment. A lot of this is a question of my own identity, and so isn't a scientific problem, but rather a philosophic one.