Okay. So I finished the Oxygen Special on Phoenix last night. As I stated before Mom is basically preoccupied with maintaining the Good Christian Image. In addition to that she is also preoccupied with any and everyone not blaming her for Phoenix' initial disappearance. However as I have also stated I do not feel mom or dad have malicious intent by this.
Asking the Detectives and Investigators WHY Phoenix would have voluntarily left and then using their answer of I do not know as an indicator that her daughter did not voluntarily leave on her own is in my mind a means to hold on to that belief is counterproductive as well.
I also believe that the parents know why she left and that it stems from a breakdown in their relationship.
Do I think she is still Out There? As I said in an earlier post I think she initially left on her own. But who knows what happened thereafter. Could she have entered The Life either voluntarily or via coercion? It is very possible.
The mother may be a bit churchy, but beyond that I don't see your reason for criticizing her. You don't know her background, and it could very well be she was raised in a churchy family. She has gone a lot further than most people would go in looking for her missing kid, even to the point of her house possibly being foreclosed.
If the girl did leave voluntarily then no harm is done by the mother continuing to search, in fact she sets a good example.
As a general rule when a mother is looking for her lost kid she would be using much more effort, thinking, etc than in most situations. It could be that she has considered all the possible scenarios, all her possible actions, and all the possible outcomes, then crunched all that data and her actions are based on that. Whereas somebody criticizing her possible missteps is doing so from a comfortable place with nothing on the line.
You may be right that she left voluntarily. It is a heathy thing for people to leave their parents and it looks like the parents gave her much more to work with, even fencing lessons, than they had. She probably had more abilities and confidence as a young person than her parents, so she was able to take steps toward independence that they never did, even if it was extreme by some standards.