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.
Maybe look up atheism then try correcting your own comment instead of theirs :)
In all seriousness, I think your definitions are a few centuries out of date. It’s been drifting toward meaning a-gnostic instead of undecided. Contemporarily, it’s used to explain one’s believed level of knowledge on a claim. I can, for instance, be agnostic toward plate tectonics, and be made gnostic of them by evidence.