They said rock and roll was dead, too

That didn't stop the US from exporting it around the world and establishing cultural hegemony. Along with Cher. And hip-hop.

As stated before, if you want to pick a new term, go with genres or other catchy and marketable names for anime's derivatives. Why should we be tied to saying, "That's anime" and "That's not anime" when it would make everyone's lives easier to narrow things down a bit and say, "That's a kid's show" and "That's slice of life."