I suppose the Uyghurs in detention camps are not included in “their people” then?

Is anyone saying that they are? All coverage refers to them similarly to this article - they are a Muslim ethnoreligious minority.

The parallels to Muslim minority integration in the West is probably why it is so interesting to Westerners. The disparate treatment by governments is what makes it so striking - in China they are second class citizens; in the West they are favoured over the indigenous population.