The structure of the body more or less remains the same. Ship of Theseus hits the same limits evolution does. We don't really become a completely different species from local changes.

What is the point of information if you can't embody it? I guess the desirability of immortality in a computer system completely relies on how faithfully the system can pretend on your behalf, that you have a body. An endless heaven without having a body to structure your sensations and grant you movement through space and time... seems lacking.