Jyakotu only says that because he's following along what I and some others here have said about Ayane critical burst, he doesn't actually know why it's sub-optimal to her play.
Critical Bursting as Ayane is fine, there has never been anything wrong with doing it. However, the damage she gets out of Critical Burst is not much than the damage she'll get just from setting up good stun > launch mix ups that will more than likely send someone flying into a wall or other piece of environment that will set up your next move without risking more than necessary for almost the same damage (KK > 4P+K can lead into 103 on neutral hit, 129 on counter hit and that's mid screen from simple stun > launch).
That's what I've always said and it is still true even in Last Round, another reason why I've always said this is simply due to the fact that trying to optimize a Critical Burst heavy style of play with this character makes your damage attempts obvious in the long run. Making you a lot easier to read. There is a reason why these types of players never do well at an offline tournament.
If anything, Ayane's CB from BT stance plays a much more significant role as threshold extension, a high crush and a solid range tool.