Well in that case I guess a transporter is easier than we thought.
As long as we get the atoms in roughly the right place, then everything will be alright, correct? After all, "form and function are irrelevant", as long as we get the components right.
Form and function matter to humans. I suppose if you were an impersonal observer, everything would eventually go entropy anyway, so you wouldn't care. As a human however, form and function matter a whole lot, and I personally would like my atoms staying in roughly the same configuration, even if I swap them out a lot.
I'm not arguing that it's impossible to construct a living organism, I'm saying it would be a hell of a lot more complicated than people seem to think to disassemble and reassemble a specific living organism, and capture all of the neural impulses at the exact moment of transport.
Remember, there's more than just matter in people, if one came through a transport and lacked electrical impulses, the person will come out the other end dead. And the matter is a tough enough problem.
I do think a quantum transporter might well be possible however