The phenomenon of "White Flight" traditionally has been White vs Black mostly. Hispanics are a bit harder to pin down since there is almost no real White Flight from White Hispanics but somewhat a good amount due to Native American Hispanics. Asian "White Flight" is probably likely only in areas with good amounts of Hmong or Khmer populations I suppose.
When you say "Native American Hispanics", do you mean Hispanics born in the United States or Native Americans (aka Indians) who are of Hispanic ethnicity?
Your point is correct though, I've never heard of white flight from Hispanics.