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.
I call myself ‘functionally atheist’. I’m philosophically agnostic in that I hold no strong opinion on the existence of a god/gods as that is fundamentally unknowable but for all practical purposes I act as though there is no god.