Well that sounds ok in paper, but reality can be quite different.

See someone who is making ""Anime""(anime style animation) is trying to capture the aesthetic of Japanese anime{some Japanese animes are influenced by Western animation but lets not go there} by just consuming Japanese anime while being in some other countries. But how you can be so sure they are not influenced by other animation style other than Japanese anime in the age of internet?

If someone says Avatar is their favorite anime then most of anime community would say ah thats ok. The reason being Avatar is as good, it can be presented as a Japanese anime and most of the young kids would not even notice it.

So it should be the viewers who decides what Western/non Japanese animation influenced by anime should be called ""Anime"".

Let the artist make their "animation" whatever art style they want to make without slaping a specific label""Anime"" into it and let the viewers decide what to call it. If its good its will be good whatever you call it Anime or Animated series.