The problem with invoking that part of the solution that helps is the surrender to a higher power, is that there isn't a lot of group therapy solutions that don't have that involved.

We can't effectively say for certain whether there's a correlation with throwing in a higher power or just group therapy on its own in this circumstance, and I know for a fact there are many that will not join an "* Anonymous" group because of the more religious overtones. This creates a dichotomy that is hard to separate when talking about groups like AA, as it reinforces the thought that their process is important over the comradarie and support of a shared experience.