It's indeed a perfect example of how the book split was handled as undermined certain aspects of the storytelling.

Perrin is a very good example, but there's more to it too. There were some scenes with Egwene that were clearly meant as counterpoint to Rand's scenes, for instance her visit in TAR to a Tinker camp, that complemented what was happening to Rand in Ebou Dar at the same time.

Another seriously misplaced scene is Aviendha's journey, that would have felt far more powerful if it had happened chronologically, that is around the same time Rand hit the bottom of the barrel in Tear.

RJ's original intent is pretty transparent. He planned things out so toward the 2/3 mark all the storylines would be in deadlock. As the center of the web of destiny, Rand was suddenly dragging everyone and everything into a precipice. Nothing was going right anymore, and the darkness in each storyline was feeding on the darkness in the others (whereas, if you wait to tell some parts until the reader knows of "new Rand", it's all ruined). Then Rand's epiphany broke that deadlock at last. Egwene became Amyrlin and destroyed Mesaana right in time for Rand to come to Tar Valon (a few days earlier, it would have been a blindly triumphant Elaida... playing on the red herring of her foretelling long ago that she would face Rand and so on), Perrin forged his hammer, Mat finally was free to leave Caemlyn, Aviendha was on her way back as a full WO, Elayne was moving for Cairhien and so on.

It was all built to happen in parralel, and with each storytelling echoing and complementing the others. The way Brandon chose to split the books destroyed that aspect of RJ's story.

Another very probable example of changes in the chronology is how Brandon stretched Mesaana's demise to last until TOM (again, because he wanted to create some sort of cliffhanger). Normally that scene was happening during Rand's epiphany (which contributed, I guess, to the fact the Shadow was confused and couldn't react to Perrin's escape with the dreamspike) - with Perrin's narrow escape to DM and Egwene being captured happening as Rand was on the verge of breaking, only to return with the Egwene's own "great moment" right after Rand's epiphany.

It's the same story, but I can't help but think RJ's more chronological style for this type of climax in the previous books would have been a far more interesting way to tell it (and I have little doubt it's in fact the very reason why he was so adamant to split AMOL - he knew he had to make all the storylines progress in parallel to Rand's epiphany).