That was an example, but it doesn't necessarily need to be taking the children away. "Re-education" with the intent to remove someone's ethnical/cultural background is cultural genocide. The idea of "kill the Indian and save the man", in this case would be like "kill the Uighur and save the person". But I don't know enough about the specifics in China and I'm not arguing that what they're doing is specifically cultural genocide, I'm just saying that cultural genocide is real and does occur.

And I very strongly disagree that the civil war was cultural genocide. Just because the majority of the people who were on the losing side were white doesn't mean they were targeted indiscriminately JUST for being white (that's the key difference here). They were not targeted because of the way they looked or the language they spoke or where they were born. Racism and oppression are not cultural or human rights.

Equating white American culture to the racism that specifically Confederate and Neo-N*zis were and continue to advocate for is very much "I'm German so the swastika is my heritage" vibes.