I think the closest we can get pre-death is the experience of being under general anesthesia. It's not a pit, or a void, or darkness. Just a complete cessation.
(Of course, this is assuming that general anesthesia does actually cause the complete cessation of all conscious processes, and not just the formation of memory. I don't know enough to say whether we're entirely certain about that.)
But I totally understand your point about how maybe it's just the amnesia part, maybe you do experience time, you just don't remember. I had the same kind of experience when I had a endoscopy, and I know that I had to be semi-conscious to participate in the procedure, but the time was completely lost to me and seemed instant, just like a general.
Charlotte was a datacenter I was concerned about at work, pre anesthesia.
It wasn't until the car ride home that someone asked me again that I was like...oh, no, Charlotte the city not the person.
More simply, I think we just cease to exist and don't feel anything. Just as you didn't exist before you were born, and so on.
My only fear of death is for my family. They depend on me for so much. So, I took out giant life insurance policies, and that gives me a weird comfort in it.