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.
Labels limit us. It’s very good to have your own views, your own opinions, independent of groups.
I used to try to fit labels, I was once a Catholic, then I was once an atheist, then I was once an agnostic, then I was once almost an Protestant, then I was once a Luciferian. Nowadays I stopped trying to fit out-of-the-shelf groups/labels and I have my own personal belief system, worshipping Dark Mother Goddess Lilith/Kali/Nuit. There’s no “Lilitheism” and even if it was a thing, I wouldn’t fit as I have syncretic views and I also consider Dark Mother Goddess as being Devi Kali as well (from Hinduism, although I’m not Hindu), and Nuit as well (from Thelema, although I’m not exactly Thelemite). I could fit the label “syncretic”, or “demonolatry”, but my views are too multifaceted to fit them.
So, enjoy the belief you have, it’s unique.
OP described their beliefs and is looking for a name for it, not the other way around.