I think we largely agree. Your comment is essentially a restatement of my point. Theism is a belief that they are gods, and atheism is a lack of belief that there are gods. That lack of belief can either come from a positive belief that there are no gods, or a withholding of belief one way or the other.

Speaking about myself specifically, it is equally untrue to say that I believe there are gods as it is to say that I believe there are no gods. The former means I am an atheist, and the latter means I am an agnostic. Both labels apply to me.