So what you're saying is....people who say that no gods exist are not correct, even if they do provide some sort of proof? That would also work vice versa, for people who say that a god exists and provides proof.
I'm saying that lacking a belief and believing a lack are two different things. I'm not claiming any correctness of belief systems/lack of beliefs.
Here's an example for you.
Person A claims there's currently a teapot in orbit around earth. They firmly believe it, and it's possible they're correct.
Person B requests evidence of person A's claims, and person A provides no evidence/flawed evidence.
Person A says that the flaws/lack of evidence are insufficient to prove the existence of the teapot. End result is he does not believe in the teapot, however he does not necessarily believe the teapot is not there.
Poll