The comment by me that you are replying to is more about the feeling from within the computer, rather than the case of copying where you are the physical version.
In the case of copying, I am in a potentially small group of people that would willingly create a copy of myself to be uploaded to a computer. Assuming it is non-destructive, then there would be two 'me's around. The physical one that has continuity, and the computer.
After whatever brain-scanning this is, and I wake up as the physical version rather than the digital, I would likely be disappointed as the digital arrives closer to accomplishing the goal of immortality. Yet, I would also be glad that a version of me gets to live on.
Even if it is no longer the me on the physical side, it was still a me at the time of copying. It is giving a version of yourself chances that you may not get (immortality, whatever crazy experiences one can get when your brain is simulated, etc).