The phrase is analogous to "editor wars", and I am not the first to use it. Imagine for a moment that somebody murdered Richard Stallman. Would it be appropriate to eulogize him as "author of Emacs, which is without a doubt the best editor in the world"? To me that looks a lot like exploiting the tragedy to score points in a comparatively unimportant argument. Nobody can bring up other candidates for best editor without looking insensitive.
It's possible to praise a person or organization's accomplishments without putting down others. Kyoto Animation certainly deserves such praise. But there is no need to start ranking studios.
