I don't think so, and I don't think the original author assumes as much. If your digital copy is created through a process that destroys you, is it not a copy?
Hmmm...
I suppose it is. But are you saying you are being constantly destroyed and remade from one moment to the next? I know Pratchett used the idea in " The Thief of Time", but that's a fantasy author...
But even if we assume that what happening to the atoms of your body from one moment to the other can be described as destruction and recreation (I'm not even sure those words have meaning when we talk about atoms), you will still have the burden of proving that the process is analogous to the whatever way you are going to teleport yourself to Mars.
Scott Aaronson has a new 85 page essay up, titled "The Ghost in the Quantum Turing Machine". (Abstract here.) In Section 2.11 (Singulatarianism) he explicitly mentions Eliezer as an influence. But that's just a starting point, and he then moves in a direction that's very far from any kind of LW consensus. Among other things, he suggests that a crucial qualitative difference between a person and a digital upload is that the laws of physics prohibit making perfect copies of a person. Personally, I find the arguments completely unconvincing, but Aaronson is always thought-provoking and fun to read, and this is a good excuse to read about things like (I quote the abstract) "the No-Cloning Theorem, the measurement problem, decoherence, chaos, the arrow of time, the holographic principle, Newcomb's paradox, Boltzmann brains, algorithmic information theory, and the Common Prior Assumption". This is not just a shopping list of buzzwords, these are all important components of the author's main argument. It unfortunately still seems weak to me, but the time spent reading it is not wasted at all.