I’m curious if there’s a name to the belief I have. I wouldn’t exactly call it atheist, though i generally lean that way, but I wouldn’t call it non-theist. The thing is, I just plain don’t care if God exists or not. They could, or they couldn’t, it really has no bearing on how I live my life. For that reason along I think I go in the atheist camp, but I always thought that was used to describe people who don’t think he exists.
An atheist who finds cero evidence, but does not believe (or assert) there is no divinity, is not an atheist, they are an agnostic-atheist.
I don’t think it matters. But belief in there being no divinity, is by definition: a-theism (no-god)
Side note: Everyone is a believer in things that do not exist. Like perfect geometry, or the value of paper money.