That has been suggested a lot since AMOL, but I've seen no one yet who convincingly explained how the first two lines refer to Moridin and not to the abundantly obvious (underlined by Moiraine in TSR) event where Rand decided to drive Callandor into the floor of the Heart of the Stone, to hold the loyalty of the High Lords, showing them not to stray because he'd be back for Callandor one day.

Moridin never drew Callandor, he picked it up as Rand let it fall on purpose. The one to draw Callandor out of the Heart was Narishma, and he did follow after Rand's steps to unmake the ward.

He was dragonsworn, Asha'man, a follower of Rand beside.

People simply made way too much of the "shall follow after" line, seing some glorious future for Narishma in it, which was probably RJ's intent as he liked to distract us with stuff like this and watch us make a big deal of lines that were mundane. The "classic" will remain Min's ominous viewing about Alivia that turned out to be extremely mundane, one of those self-fulfilling prophecy since Rand thought of giving the task to Alivia because Min had told him "she'll help you die".

What that prophecy said is simple: Rand shall leave Callandor behind to hold the hearts of the High Lords, and he shall not be the one to draw Callandor from the Heart, he had to send one of his followers to draw it out. We even know why. Rand would likely have died, not paying enough attention to his own ward. Narishma survived, because he only had Rand's verbal instruction to follow after and undo the ward, and not too trusting or confident, he was hesitant and cautious, and thus noticed the trap a Forsaken added to the ward.

Rand's ward was also nasty, so only him or one who followed his instructions could draw it out.

It also gave us a big clue that Callandor was dangerous, foreshadowing for the big reveal it was flawed.