"Documentary" puts a respectful spin on the circus act if it is in fact a reality show, and all pretense of being a private, "personal" matter is abandoned. Your hopes for a "positive media appearance" is already scuttled by any connection with the name "Kardashian."

Whether you agree with them or not, there are literally millions of people who enjoy following the various adventures of the Kardashian family.
Disagreeing with the worthiness of the subject does not make a documentary any less a documentary.