Well, isn't that the whole idea? Objectively, there is no difference. If there was, uploading wouldn't ever be possible.
The only potential difference is the subjective impression of "this consciousness that I am now is the same consciousness that I was yesterday" versus "this new consciousness is an exact clone of mine, but is not really 'me'".
This incremental upload technique simply tricks your subjective self into thinking there is absolutely no change in continuity.
In other words, your subjective consciousness is somehow changed but you can't subjectively tell? What does that even mean?
If one of your neurons randomly dies right this instant, you would probably not subjectively notice, even though that neuron composes your subjective consciousness. Your neural network is highly redundant and fault-tolerant.
It depends where those neurons were sent off to in the meantime and what they were doing, but with such a big jolt, it's quite possible they would perceive themselves as "clone" (after understanding the situation at large) while you in your new machine self would be the "original you".
(Thanks for this by the way, I've long thought about this idea but didn't know it had a name.)
[1] Greg Egan - The Jewel
I found that really fascinating as an idea. Being identical is one thing, but does being arbitrarily close to your behaviour make it you?
The deconstructionist concepts that our constituent atoms cycle through a complete change-over in less than a decade, does not equal total organ replacement with a non-biological surrogate. Those sorts of ideas sweep a grand swath of what-it-is-to-be-alive under the carpet with a sentence-long sound bite.
Replace a knee or a hip with a comparable structure of equivalent practical necessity, and that person will still be missing those body parts.
Claims such that, simply because the replacement is infinitesimally complex, that this sufficiently satisfies the requirements of "being a living human" will still be wrong.
You might enjoy a puppet that acts just like your dog, or your grandma, but it won't bring them back, or keep them alive beyond their expiration date. Put your grandma's Moravec replacement brain inside your dog's body, and tell me she's still alive.
A human without a human brain is not a human, but instead a soothing, reassuring puppet, perhaps hoisted aloft by hypothetical autonomous, and nigh-imperceptible nano-cyber-strings.
But still a lifeless corpse all the same.
That's an ontological conundrum that's far from settled. I'd argue the information we have points to our biological intelligence not being particularly special or more "real" than other forms.
What I can tell you is that your hypothetical monstrosity there would probably play fetch and bake some really good cookies. Heck, I'd probably name it Dogma.
How can you possibly know this? And I'll point out that no one but you has posited that the result would still be a human brain.
What do you think happens if you freeze a brain in liquid nitrogen, then safely thaw it out and restart it?
facing my copy, there wouldn't be a reason to feel immortal - I would die anyway, and the other guy would continue to live. so immortality for me means preserving my own instance of me, anything else is just not there. it seems to me this would be much harder to implement compared to creating a copy, so this would be available much later, and who knows with what consequences.
this is not possible in our timelines, and frankly, I don't mind. kids are good enough solution, and as previous generations made space for our, I will make some space for next ones, hoping they'll get a bit closer to stars than we did. once we settle through Milky way, our extinction on short or medium time scale should be less probable compared to single-planet situation.
Do it while you're unconscious. You go to sleep, then wake up in a different body. No existential crises needed.