It would have survived, if anyone had lasted to teach it! Given that you might be right about the desirability of teaching it, I would have to say that logically, my thesis is correct, and the AoL Aes Sedai were all wiped out, and there is no connection or succession on the part of the early White Tower, except in their appropriation of the name. Hell, maybe there WAS some group that retained a successive connection to the AoLers and refused to go along with the domineering plans of the White Tower alliance, and were then wiped out by the 3rd age sisters, and refused to share that weave. A major idea regarding the rediscovery of Traveling has been the determination not to share it with the untrustworthy. Had I been an idealistic Aes Sedai who was taught by a woman who had been taught by one of the last Servants of All, I might have been leary of sharing my remnants of AoL knowledge with this obstreperous group that was planning world domination (for the greater good, of course), especially once they demanded I join them or forgo my use of the title granted to my teacher by her own teacher, who held under the same authority Lews Therin and company did.