I don't think she's fake or acting or that it's "scripted" at all. I think she's the complete opposite of that, like the therapist said, she is too open and needs to know when to hold back. She is very at one with the camera because her whole life has been played out in front of the camera for years. I think she's such an interesting character.
Very strange program though, it was edited weirdly and glossed over lots of things, could have been two or three episodes. Also very ironic that the therapist is saying she needs to be more private given the nature of the programme!! I love KP but hate myself for watching this, there's something that sits very uncomfortably with me about watching someone's "therapy" sessions, no matter how contrived they are. I hope she really is seeing a good therapist off screen