This. There is no reason to think that the third-age channelers who became the Aes Sedai of the White Tower weren't simply the first - or strongest - group of wilders to coalesce out of the chaos of the Breaking. None of the most useful AoL weaves and techniques survived - travelling, five-power healing, inverting, dreamwalking, and so on - which strains credulity no matter how you try to explain it. At the same time, weaves and techniques were discovered that hadn't been known in the Age of Legends, things like the Warder bond, and unravelling. And it's rather patronising to assume that wilders simply couldn't achieve the control necessary to impress anyone. The Aiel, the Sea Folk and the Ayyad all independently developed channeling traditions and efficient methods of training. And, strong as she was, all the Tower's training didn't help young Cadsuane much against the wilder Norla, who had no one to teach her at all.

It also seems a mistake to judge all three millennia of Aes Sedai by those we see in the WoT books; modern AS are timid and frown on innovation, but past Aes Sedai tested ter'angreal like the Arches even when it could mean stilling or death, and must have put a great deal of work into creating the hundred testing weaves. Such innovation isn't the behaviour of women who think they know it all already; it's the behaviour of women who know well that there is a great deal more for them to learn.

It's my opinion that if weaves such as Travelling did manage to survive the breaking - which is doubtful but not impossible - they were finally lost when the new Third-Age Aes Sedai exterminated all the female channelers who refused to join the White Tower.