In what way is it "hyperbole"? From the leaks and reporting I've come across it seems like a reasonable description.

It's not labour camps, and not extermination camps, but rather places where people are 'concentrated' while the bureaucracy figures out where to move them next.

If anything it's really weird to present it as having to do with supposedly illicit immigration, since citizens and people with residence permits are vacuumed up as well.