That said, I didn't appreciate the title conceit and thought the stories got weak whenever they approached it.
There is no ghost in the shell, not in the real world. A person's thoughts, character, and emotions come from neurons, hormones, and sensory input. There's no way to take a person's unique consciousness out of their body, keep it in a jar, and move it somewhere else.
At best it might be possible to emulate someone's brain, but that's not what they did in Ghost in the Shell.