Emotions clearly support non-fungibility, in particular concerning your own life, and it's a strong argument.

I (now) understand how the existence of certain emotions in certain situations can serve as an argument for or against some proposition, but I don't think the emotions in this case form that strong an argument. There's a clear motive. It was evolution, in the big blue room, with the reproductive organs. It cares about the survival of chunks of genetic information, not about the well-being of the gene expressions.

Thanks for helping me understand the negative response. My claim here is not about the value of life in general, but about the value of some particular "person" continuing to exist. I think the terminal value of this ceasing to exist is zero. Since posting my top-level comment I have provided some arguments in favor of my case, and also hopefully clarified my position.