An exclusive, behind-the-scenes look at legendary Japanese animator and director Hayao Miyazaki. For a decade, he allowed a single documentary filmmaker to shadow him.
https://news.ycombinator.com/item?id=19970922
Personally I don't see a reason not to do it, as it is done for Chinese and Korean names. Japanese name order in foreign media is the outlier.
Nobody in Western media writes or says Jinping Xi.
We change name order for the same reason that we change the order of anything else in a sentence. Partial translation creates confusion.
Again, having the Japanese following Western rules instead of their own as an exception compared to Chinese, Korean, etc, makes no sense. If we're arguing for adapting to Western order, then do it for the Chinese and others too.
No Japanese in Japan, or Korean in Korea, or Chinese in China, or Taiwanese in Taiwan does put family name second. Nor the foreign media when speaking of them, be they leaders, politicians, artists, or plain citizens that make the news. And no media in the world refers to Xi Jinping as Jinping Xi. Or to Tsai Ingwen as Ingwen Tsai, Moon Jaein as Jaein Moon, etc.
Yet they will say Shinzo Abe instead of Abe Shinzo. Why this extraordinary exception ? Does not make much sense, if any. Translate all names or translate none.
Edit : Fun fact; if a foreign born person becomes a naturalized Japanese, they will have to adopt a Japanese name ( could be simply some sort of transliteration of their original name ) and it will be always legally displayed in Japanese order, family name first.