Is it possible that this person was deliberately avoiding such statements of declaration?
I imagine myself, hypothetically, discussing physics with an opponent who only believes in Aristotelian mechanics. I'm not going to come right out and declare "Objects at rest stay at rest". Instead, I'm going to say "I believe that objects at rest stay at rest", going under a mock hypothetical that perhaps my belief is an opinion and not a fact, and then slowly try to win my opponent over. Making guarded declarations instead of absolute declarations is a common tactic of persuasion. (I almost typed "appears to be a common tactic of persuasion" in the last sentence, which shows how strong this tactic is.)
Given that, I find it possible that the person actually did believe that God exists, but felt that saying "Oh, and by the way, God actually does exist" would have been unproductive. She could have been trying to construct an argument that goes somewhat like this:
(1) I believe that God exists. (2) I am an intelligent person, therefore my beliefs are true. (3) Therefore, God exists.
Perhaps it was clear to her that you didn't believe (3), but she was holding out hope that she might convince you of (1) and (2), which would then force you to believe (3). If that is her line of attack, it would do her no good to declare (3), as it would more likely alienate you and make it harder for her to persuade you to believe (1) and (2).
I recently spoke with a person who... it's difficult to describe. Nominally, she was an Orthodox Jew. She was also highly intelligent, conversant with some of the archaeological evidence against her religion, and the shallow standard arguments against religion that religious people know about. For example, she knew that Mordecai, Esther, Haman, and Vashti were not in the Persian historical records, but that there was a corresponding old Persian legend about the Babylonian gods Marduk and Ishtar, and the rival Elamite gods Humman and Vashti. She knows this, and she still celebrates Purim. One of those highly intelligent religious people who stew in their own contradictions for years, elaborating and tweaking, until their minds look like the inside of an M. C. Escher painting.
Most people like this will pretend that they are much too wise to talk to atheists, but she was willing to talk with me for a few hours.
As a result, I now understand at least one more thing about self-deception that I didn't explicitly understand before—namely, that you don't have to really deceive yourself so long as you believe you've deceived yourself. Call it "belief in self-deception".
When this woman was in high school, she thought she was an atheist. But she decided, at that time, that she should act as if she believed in God. And then—she told me earnestly—over time, she came to really believe in God.
So far as I can tell, she is completely wrong about that. Always throughout our conversation, she said, over and over, "I believe in God", never once, "There is a God." When I asked her why she was religious, she never once talked about the consequences of God existing, only about the consequences of believing in God. Never, "God will help me", always, "my belief in God helps me". When I put to her, "Someone who just wanted the truth and looked at our universe would not even invent God as a hypothesis," she agreed outright.
She hasn't actually deceived herself into believing that God exists or that the Jewish religion is true. Not even close, so far as I can tell.
On the other hand, I think she really does believe she has deceived herself.
So although she does not receive any benefit of believing in God—because she doesn't—she honestly believes she has deceived herself into believing in God, and so she honestly expects to receive the benefits that she associates with deceiving oneself into believing in God; and that, I suppose, ought to produce much the same placebo effect as actually believing in God.
And this may explain why she was motivated to earnestly defend the statement that she believed in God from my skeptical questioning, while never saying "Oh, and by the way, God actually does exist" or even seeming the slightest bit interested in the proposition.