Earlier quoted context omitted.
So if we copy you into a robot and the copying process leaves you unharmed and awake, are they both you?
Yes, they are both me. It is admittedly a weird conclusion, but that doesn't make it false- we did a weird thing and got a weird result. Objectively, there is no case for saying either is not you.
So there's certainly an argument to be made that if someone created a copy of "you" and put it in a robot, and then destroyed your organic body, that consciousness wouldn't "move" to the robot; it would stay in the organic body and be killed. The robot would be a completely new consciousness, but with all of your memories and behaviors and attitudes.
I'm honestly not sure what I believe around this. Perhaps we will discover "consciousness" as a physical thing and learn how to transfer that as well. Or not. Who knows.