The Aelfinn gave Rand this answer on the question on how to survive TG. He won't survive, if he "normally" dies. Obviously it's a typical tricky riddle by the Aelfinn, and therefore Rand has to figure out with Alivia's help how he can achieve the apparently impossible (like he eventually figured out how to Cleanse saidin).

Since there are other Prophecies, which indicate that Rand is at the same time somehow dead AND alive, IMO the most likely explanation is that Rand has to fake his death convincingly, letting Logain take his role to deceive the Shadow. The introduction of the blunt dagger, which hides you from the Shadow, strongly indicates the same. That will IMO also be the reason why Rand has to kill Moridin before he faces the DO. Because of their balefire link faking his death won't be possible otherwise.

Besides that, I don't see who would or could forcible turn Rand to the Shadow, if he already defeated the Shadow. It's also not clear then, why of all people Alivia has to help him die (which is explicitly mentioned in the books as not being the same as simply "kill Rand" ).