While I am open to new information on the matter, I do not think the case for racism has been successfully made yet.
The video is being accused of racism on the grounds that it fetishizes and misappropriates Japanese culture and that it is engaged in Orientalism (a term coined by the postcolonialist thinker Edward Said). The problem here is that there is an important difference—as Said himself noted—between appropriating a culture and genuinely partaking in it.
While Lavigne has been mocked for pointing out that she recorded the video in Japan for her Japanese fans, under a Japanese record label, with Japanese choreographers and a Japanese director, these are not irrelevant facts. Her presentation of them is suboptimal—an almost inevitable result of using Twitter to respond to serious accusations—but they do suggest that she was not merely lifting elements of a culture to use as exotic decoration. And given how closely her video adheres to the norms of the J-pop genre, I think there is good evidence that this is a case of partaking.