I am an a-stamp-collector. I do not collect stamps. This does not necessarily mean I still collect something.
I am also an atheist. I do not believe any claim I have heard about a god. This does not necessarily mean I still believe something (about a deity, or indeed about anything else).
You can of course believe whatever you want, but please don't tell me what I believe, because you're clearly confused.
I will make this as clear as I can: I absolutely do not make the claim that there is no god. For each of the positive claims for a particular god that I've heard, I don't believe the claims meet their burden of proof. Think of it like a jury in a courtroom: for each god claim I've heard presented, thus far I have found that deity "not guilty" of existing. This is not at all the same as asserting that no gods exist.
There are plenty of specific gods that are claimed to exist (Zeus, for example) where I do assert that particular god doesn't exist. But there are other god claims (a deistic god, for example) where I don't feel the proposition presented is falsifiable. For that reason, while I do not believe those claims meet their burden of proof, I also feel I cannot honestly assert that the deity doesn't exist.
The presence of even one deity in the "unfalsifiable" category, IMHO, prevents me from making the claim "no gods exist." But I am still an atheist, because I hold no theistic beliefs.