Agreed, Anime-Styled is clear and avoids the issues.
EDIT: Also where I think FD was over-reacting was to my "country of origin" point. FD was basically saying "anime is much more than just country of origin".
Well sure, but Occam's Razor, country of origin fits well enough almost all the time so we don't have to think about it harder. Sure there's much more to anime than just coming from a specific location, but all those details aren't going to change whether any specific piece of work is an anime or is not.
Anime has all the things FD says are vital to understanding anime as a medium. But let's assume it didn't. Imagine if tomorrow every single anime creator in Japan suddenly started producing work which lacked all the qualities FD says anime has. Would it be anime or not? If it's still anime, despite being totally different, then what justification would there be for that? It goes back to country of origin. Country of origin trumps all the "cultural" stuff in determining the is/is-not question.
That's not how culture works. You don't just
turn off your cultural filters, because they constitute the fundamental assumptions and norms of your worldview. You're still approaching this from the perspective of trivial things, little individual stylistic elements. Country of origin
is the cultural stuff, in the sense of the country/region of origin of the
artist(s). Where a
work is produced means fuck-all. Where the people who produced that work were raised is everything.
Imagine if tomorrow every single anime creator in Japan suddenly started producing work which lacked all the qualities FD says anime has.
Where did I start listing off qualities? I literally just said that works are informed by the culture of the artists that create them. Even when an artist deliberately produces something at odds with the normal styles of that medium in their culture,
they are still operating within the assumptions of their culture. The "lack" is entirely artificial and only exists in the minds of people whose cultural assumptions are shaped such that they perceive that set of characteristics as lacking something normal.
Like, take the explosion of musical genres in the late '70s-early '90s. Punk, grunge, metal, post-rock, hip-hop, disco, &c. were all radically different from classic rock and often from each other, but they were all products of the same musical culture, and shared a lot of the same underlying characteristics inherited from earlier forms.
If you want a more direct example that's also simpler and easier to comprehend, take food. Cooking some pasta with a tomato-based sauce doesn't mean that it's Italian food, because it lacks the cultural assumptions and norms which define proper Italian cuisine. But, ultimately, cooking food has a relatively limited set of assumptions and behaviors associated with it, which is why someone willing to put the effort into studying a culture's approach to food (and with a good helping of talent) can often replicate it despite not being born into it.
For artistic endeavors which draw deeply on a great many aspects of a culture, it's much harder. Which is why the only definition that matters is a culture-based one. It doesn't go one way, either. If a Japanese studio made a show with the same artistic style as King of the Hill, it still wouldn't be an American cartoon, because it would lack all of the underlying cultural knowledge, assumptions, memes, &c. that made KotH brilliant. And you'd have a damn hard time translating King of the Hill for a non-American audience, even in other anglophone countries.
That's where we get into fun stuff. Because say that that same studio made a show like King of the Hill, in the same visual style, but set it near Osaka and immersed it in Japanese culture using stereotypes about Japanese hicks, it would be a cross-cultural equivalency (and would be anime in the western sense of the word). But for the most part you don't even see that level of detail, it's literally just superficial stuff like "OMG they draw their eyes like anime eyes, it's totes anime!"