I've read a bit about NDEs. Your experience, as you surmised, doesn't sound like an NDE. It sounds more like an OBE (Out of Body Experience). Those are quite common with strong narcotics and/or hallucinogenics.

My Gran used to tell of an NDE she had in which she could see her loved ones waiting to welcome her. But, Jesus appeared and told her she was still needed. She chose to live for her children.

I had a minor NDE myself. I think I've written about it here sometime before. My vitals were failing while the doctor was treating me. Everything turned to nothingness, then I felt a rushing toward something. It wasn't scary. I was rushing toward someone or some place I wanted to get to. Mother was at the doctor with me and she shook me aggressively and I guess pulled me back. I have to say, I'm incredibly glad I didn't die that day. I'd have missed out on Gray's growing up and finding happiness. I'd have missed another 15 years of love and joy with Hamid.