No just transplanted.
To be fair, I think the question would be whether there is any difference in reincarnated/transplanted here. Indeed, in terms of the language, maybe neither term really works since in theory, the current you and the new you could co-exist. I think the schism discussed in the article about whether we need flesh casings is related to Sriram's distaste for the idea of being a robot as opposed to a cyborg. This, I suspect, is because there seems to be a dissolution of self if we are completely downloaded into a robot but in the case of a cyborg, taking some of the flesh with us gives a theoretical continuity.That said, it's not clear that either as a starter or over time, our once too solid flesh might not be replaced by other flesh, perhaps even stuff grown in a lab for the purpose. That would make us a sort of cyborg Trigger's broom. ( More classically the Ship of Theseus but worth having a look at the various examples coveted in the link
https://en.m.wikipedia.org/wiki/List_of_Ship_of_Theseus_examples)
The possibility of transhumanism seems to me a fundamental challenge to a lot of our day to day perceptions. Say for example we 'download' Person A and then upload them to two units, one cyborg, one robot. If person A is still alive, then I think we would regard them as not Person A. Does it make a difference if it happens at the moment of death? If so, is one more like person A? Does it matter if the cyborg has flesh from Person A or not?
I find Sriram's disgust at the idea of a robot us both understandable and perplexing . Understandable because the idea that we could be so 'incarnated' in something so alien as a robot seems weird. Perplexing in that given he believes in reincarnation the basic premise is no different.