This might sound pedantic, but neither of those statements are quite right. It's not called "How Do You Live" in Japan, it's called Kimitachi wa Dō Ikiru ka. And it wasn't "renamed" for the "international" market, it was given an English name that it didn't have until then.
I'm irked by this because this is something I've been constantly correcting people with, mainly to indirectly challenge English-language exceptionalism (anything not Japanese is English - we don't know the French or German titles yet), but also a reminder that any publication worth its salt up have emphasised that "How Do You Live" was a tentative title.