I think the difference in the terms lies in the falsifiability of the claim to which the terms are being applied. For gods, I am an atheist to every god that has been defined in such a way that the deity has impact on the material world. I have seen no evidence for any of these claims, and much against.
As for the gods that are inherently unfalsifiable, the gods of personal feeling, the gods I have so often seen faith retreat to when the hard questions are asked. To those gods I remain agnostic.
For clarity I’ll point out that I’m quite certain a god who has impact on the material world, but whose methods of impact are the same as those which nature uses is in fact an unfalsifiable god.