Indeed; I found a lot of pages talking about this concept, but almost none mentioning any examples of its implementation. In fact, the only long-form story (not a four panel comic strip or poem) I saw brought up as an example of it was Kiki's Delivery Service, which has plenty of conflict.
It seems more like something that people theoretically like the idea of. It's also interesting the way it's presented as an Eastern vs. Western dichotomy, with Westerners supposedly viewing conflict as central to a story and Easterners not viewing it as essential. I don't see any indication that Eastern stories are less conflict driven than Western ones (most of the major ones I'm familiar with, such as the Four Great Classical Chinese Novels, have plenty of conflict).
It'd be nice if the author gave examples of significant plots using the structure, like a novel or a film.