It is pertinent to your reasoning. The creature that's seeing this post right now and the consciousness it generates would never get to see Mars by using the transporter as a matter of objective fact; yet a machine that kills it while sending a copy to Mars is OK, because at least there's an identical creature that can call itself the same name somewhere in the universe.
It's because that copy on Mars will produce conscious states that are almost identical to the ones my body produced before it was disintegrated. And these states are all that matters.
You claim not to be particularly concerned because you don't feel incredibly attached to your body as such, and that consciousness and self are just illusions; yet you must have some sort of attachment to them, because one of your conditions for participating is that there must be a "Croc411" living somewhere in the universe by the end of the experiment.
I'm attached to my current conscious state, because that is all that matters to me. I'm the sum of my memories and my personality traits and I'd like those to be preserved.
Bodies are interchangeable because the particles they consist of are interchangeable and this is a
natural law.
Further you claim this to be the materialist position; but I don't see how it can be. The materialist position is that consciousness is produced by a brain; ...
Yes, biological or artificial. The thing that produces consciousness must consist of matter and/or energy on its basic level.
... once that brain is dissolved, the consciousness it creates can't exist anymore.
Once that brain is dissolved, it will stop producing conscious states. But those conscious states might as well be produced by a copy of that brain.
By saying that an identical (yet distinct in space and time from the original) brain can be created, ...
You move through space and time every day. Yet you don't consider yourself a different person every time you have relocated.
... the consciousness that results will be the "same person"; this seems to suggest that consciousness has some special quality that makes it distinct from from the atoms and molecules that project it.
Of course it's distinct from the atoms and molecules it emerged from because it is just patterns of information. Is a software program distinct from the atoms of the computer it
was typed on initially is running on? Sure.
This is further reinforced by your claim that as long as the atoms used to rebuild you are "facing the same way" (to simplify things), to you that's "good enough" to call them the "same" atoms and proceed with the argument as if that's true, even though it is objectively not true.
Here you leave the realm of science. We
know that atoms cannot carry any information about their history. We
know that they are interchangeable with each other. If that wasn't the case, it would invalidate quantum theory.
That consciousness is a unique thing that can be "transferred" to objectively different sets of particles seems quite not-materialist to me.
Imagine the unthinkable: imagine that the particles your body (including your brain) consists of are
indeed replaced over the time of your life.
You know what? That's exactly what happens ...