I don't think so. Death is pretty existentially terrifying for a lot of different reasons, most of which have nothing to do with religious beliefs or horror stories about death and dying.
And really, this makes sense. Remaining alive is a biological imperative that has evolved alongside our (and most other) species. There's a reason that even people who desperately want to ctb struggle to do so. Our survival instinct is powerful, and will almost always induce dread and terror when confronted with the imminent reality of non-existence.
For my part, I consider myself spiritual/non-religious, and I don't tend to gravitate towards horror stories about death and dying. Yet the idea is still existentially terrifying to me. I'm not suicidal; never have been, and hopefully never will be. I'm one of those users who tries to empathize with people who are, but I very much wish to be alive and to continue to do so. That said, I know that I will die eventually, and I regularly contend with this dread of death not because I wish to act on it, but in the hope that when it is time for me to go, I may be able to do so with some grace. I'd hate to think of my last moments being spent in dread of it.