Your point about not being capable of experiencing inexperience is a fairly integral part of my understanding of life after death.
Although I have managed to poke holes in my own theories in the process. I think when death occurs time itself barely means anything and all that matters is what exists in totality, across all that does exist. If, in totality, you and multitudes of copies of you exist, then your next moment of conscience thought exists just as well in any of these copies as they do in you.
If some copies experience death, Then your conscience still exists in the other copies.
Same is true if some copies diverge too drastically from the conscience you experience as you.
Because some conscience patterns will have more or less copies than others (even if there are infinite copies, they can still be more or less, relative to others), conscience experience itself will, in general, flow toward the patterns that have more copies. This could mean, that if you die in a horrific car crash, it isn't mitigated by you miraculously dodging all the shrapnel, but rather by you not deciding to get into the car or some other seemingly benign divergence from the death path.
Theoretically, this also means you could selectively prune your conscience experience so that the outside world bends to your will, by stubbornly deciding that if something doesn't change, you'll commit suicide. However, it's much more likely that any suicides you insist upon will be mitigated not by changing the world for you, but by you deciding not to do that since its a dumb idea. The clump of selves that decide to prune the universe in such a way is much, much smaller than the clump that decides against it, so you are more likely to find yourself in the larger one.
I have poked holes in my ideas though. If you agree that conscience experience shifts in intensity over time, then you could argue that over the course of a lifepath, death might never occur, but conscience experience could reduce continually until you are practically dead. And then you could take that experience, compact it to a few seconds or however long a more common death might occur, and fit it back into your model, making all deaths as capable of justifying your conscience experience as any other state.
However, my experiencing myself typing this right now, makes such a thought nearly inconceivable. My conscienceness is dwarfed entirely by that which is not-that which is equivalent to my dead conscienceness. And yet I am this, and I am not all of that. So living and death seem like it should not be comparable in that way.
And the fact that phase-changes exist, does make me think this could be the case. The world is not always a continuous spectrum between this-and-that. At certain points things sometimes switch nigh-instantaneously between two states without an in-between.
So, I do have some hope-ish feelings that at some point as conscience reduces there is a switch event that could be called death, beyond which conscience experience is meaningless, and thus you could never meaningfully be experiencing it.