By analogy, one may experience jogging down the street or the cup in front of one, but neither jogging nor the cup is itself an experience—experiences are in one's mind, while jogging and cups are not.
Now, regardless of whether a person experiences her death, that death is not itself an experience. (Compare: I may experience jogging down the street, and I may experience the cup that is in front of me, but neither jogging nor the cup is itself an experience. My experiences are, so to speak, in my mind. Cups are not.) Let us add this observation to the argument: