That's simply no direct help by Alivia for Rand's death, because Gawyn has to take the medallion and Alivia - being dead - can't control that. It's just a random event.

Yeah, but of course it only makes sense to connect it to the other Prophecies about Rand's "death" to figure out its true meaning. And if you look at everything, the fake death theory makes the most sense to explain the Aelfinn's riddle.

There are too many assumptions, just because Gawyn announced that he will see Rand die (he might see it, but not kill him; and many other characters said that they will kill Rand), and because it's allegedly based on myths (of course, the fake death theory is based on myths as well).

TITLE - Lord of Chaos
PROLOGUE - The First Message

His mother dead, and Elayne. Only a rumor, but rumors on everyone’s lips sometimes had a way of turning out true. He climbed half a dozen paces toward the Aes Sedai camp before he knew it. His hands hurt. He had to look to realize they were cramping from the grip he had on his sword hilt, and he had to force them to let go. Coiren and the others meant to take Rand al’Thor to Tar Valon, but if his mother was dead... Elayne. If they were dead, he would see whether the Dragon Reborn could live with a sword through his heart!

TITLE - The Gathering Storm
CHAPTER: 24 - A New Commitment

"She had another motive," Gawyn said stubbornly. He felt the heat of anger rise within him again. Around them, peddlers glanced at the two, but said nothing. They probably knew not to approach Bryne. "But now we'll never know it. Not now that she's dead. Curse al'Thor! The day can't come soon enough when I can run him through."

Bryne looked at Gawyn sharply. "Al'Thor saved Andor, son. Or as near to it as a man could."

"How could you say that?" Gawyn said, pulling his hand away. "How could you speak well of that monster? He killed my mother!"

"I don't know if I believe those rumors or not," Bryne said, rubbing his chin. "But if I do, lad, then perhaps he did Andor a favor. You don't know how bad it got, there at the end."

"I can't believe I'm hearing this," Gawyn said, lowering his hand to his sword. "I won't hear her name soiled like that, Bryne. I mean it."

Bryne looked him directly in the eyes. His gaze was so solid. Like eyes carved of granite. "I'll always speak truth, Gawyn. No matter who challenges me on it. It's hard to hear? Well, it was harder to live. No good comes of spreading complaints. But her son needs to know. In the end, Gawyn, your mother turned against Andor by embracing Gaebril. She needed to be removed. If al'Thor did that for us, then we have need to thank him."

Gawyn shook his head, rage and shock fighting one another. This was Gareth Bryne?

"These aren't the words of a spurned lover," Bryne said, face set, as if shoving aside emotions. He spoke softly as he and Gawyn walked, camp followers giving them a wide berth. "I can accept that a woman could lose affection for a man and bestow it on another. Yes, Morgase the woman I can forgive. But Morgase the Queen? She gave the kingdom to that snake. She sent her allies to be beaten and imprisoned. She wasn't right in her mind. Sometimes, when a soldier's arm festers, it needs to be cut free to save the man's life. I'm pleased at Elayne's success, and it is a wound to speak these words. But you have to bury that hatred of al'Thor. He wasn't the problem. Your mother was."

Gawyn kept his teeth clenched. Never, he thought. I will never forgive al'Thor. Not for this.

...we know that the Pattern can create certain direct effects, e.g. at Falme. If Rand would actually die (which I seriously doubt the Pattern would allow anyway), the Pattern would probably immediately try to counter it by bringing Rand's soul back to his body, without having someone rip him out of TAR.

TITLE - Winter's Heart
CHAPTER: 25 - Bonds

"Sooner or later, I have to die, Min," he said patiently. He had been told by those he had to believe. To live, you must die. That still made no sense to him, but it left one cold hard fact. Just as the Prophecies of the Dragon seemed to say, he had to die. "Not soon, I hope. I plan not soon. I'm sorry, Min. I never should have let you bond me." But he had not been strong enough to refuse, any more than he had been strong enough to push her away. He was too weak for what had to be done. He needed to drink in winter, till he made winter's heart seem Sunday noon.

"If you hadn't, we'd have tied you up and done it anyway." Best not to ask how that would have differed from what Alanna had done, he decided. Certainly, she saw a difference. Climbing onto the bed on her knees, she cupped his face in her hands, "You listen to me, Rand al'Thor. I won't let you die. And if you manage it just to spite me, I'll follow you and bring you back." Suddenly a thick vein of amusement rippled through the seriousness he felt in his head. Her voice took on a mock sternness: "And then I'll bring you back here to live. I'll make you grow your hair below your waist and wear hair clips with moonstones."

He smiled at her. She could still make him smile. "I never heard of a fate worse than death, but I think that fits."

TITLE - The Gathering Storm
CHAPTER: 33 - A Conversation with the Dragon

"We can find a way, Rand," Nynaeve said. "Surely there is a way to win but also let you live."

"No," he growled softly. "Do not tempt me down that path again. It only leads to pain, Nynaeve. I . . . I used to think about leaving something behind to help the world survive once I died, but that was a struggle to keep living. I can't indulge myself. I'll climb this bloody mountain and face the sun. You all will deal with what comes next. That is how it must be."

She opened her mouth to object again, but he gave her a sharp glance. "That is how it must be, Nynaeve."

She closed her mouth.

"You did well tonight," Rand said. "You have saved us all a lot of trouble."

"I did it because I want you to trust me," Nynaeve said, then immediately cursed herself. Why had she said that? Was she really so tired that she blabbed the first thing that came to her mind?

Rand just nodded. "I do trust you, Nynaeve. As much as I trust anyone; more than I trust most. You think you know what is best for me, even against my wishes, but that is something I can accept. The difference between you and Cadsuane is that you actually care about me. She only cares about my place in her plans. She wants me to be part of the Last Battle. You want me to live. For that, you have my thanks. Dream on my behalf, Nynaeve. Dream for things I no longer can."