but it is difficult for a patient to commit to initial training. In addition, Panyard and Wolf suggested that the reluctance to attend therapy session might stem from their fear of the therapy process
That doesn't really surprise me, who, in their right mind, would want to place themselves in the position of emotional turmoil that they know they will have to go through...before anybody suggests it's for their own good and it's a smart move, consider the absolute worst
possible scenario you would want to avoid and then place yourself in that, that's what it's like for someone undergoing this style of therapy, it's not just a case of "it's a bit of rainwater so what, deal with it" which is how most, even the therapists, will see some phobias, it's extremely traumatic.
As for the snake scenario, personally, I'd prefer to not be desensitised, sometimes we have in-built issues for good reason, they can be dangerous.