You attended one of the programs studied by Harold Koenig, right? And it was a non-denominational program?
I have no idea whether you would agree with the way I see this (and, of course, you're the person with the experience -- not me....I've only read some of Koenig's work, not experienced any programs that he's researched the success of) ....But to me the difference between your experience and what I take the Vuolos to be saying is that they basically give this order: Believe in a specific Jesus -- ours -- and your problems will disappear because your problems were caused by your lack of faith, period. They weren't caused by any other issues or confusions in your mind or body, so no spiritual practice or greater understanding of self or any such thing will cure them. They'll be cured by faith in the real Jesus (ours) alone.
Whereas, I think the programs Koenig has verified focus not on faith alone, and definitely not on the validity of one particular faith above others, but on spiritual practice/religious practice alongside gaining understanding of what's going on inside you as a means of healing. Koenig's tested the power of spiritual practice as a means of healing in multiple religious contexts, such as Islam. And he's found it successful in many cases. And you mentioned that the program you attended was non-denominational, correct?
So to me there's a huge difference between spiritual practices, religious practice and using those things as part of a search for understanding of self and the Vuolo/MacArthur version which, as I understand it, attributes healing solely to asserting your strong faith in one particular religious icon, Jesus as understood by Protestants/Calvinists.
Jeremy Vuolo preaches strongly against Catholicism, for example, as a satanic belief and clearly wouldn't agree that someone could heal their anxiety or depression by embracing Jesus as he's conceived of by the Catholic church. Catholics (and Muslims, Buddhists, etc., of course) are lumped with all the other nonbelievers, in his theology, and they don't get healing from their belief, according to the Vuolo/MacArthur theology, as I understand it. Only a specific belief conveys that.
Anyway, thanks very much for sharing your experience here. This question is definitely way more nuanced than we've been portraying it....
I don't see any appreciation of that nuance in what the Vuolos or MacArthur say, however! I read them as promising a very specific magic pill, which alone has power. Whereas I see others -- such as those who conduct programs like Koenig has verified -- as talking about spiritual ways of living one's life and coming to an understanding of self, which occurs and can occur in multiple cultures and traditions. Mileage on all of this may vary, obviously.