Maybe I can provide some feedback about the approach. The Dr. I go to for my Lyme Disease was a med. director of one of those centers - if it's the group I'm thinking of. She has a small practice of her own now- just started a family and so maintains her own reduced schedule. She works with CFS and Fibro patients. Not surprisingly, in the course of doing that she has found a number of cases of Lyme Disease.
Her approach has been very comprehensive. I was in bad shape with fatigue, exercise intolerance, and deteriorating psych condition when I found her. It had been going on for several years. She ran a whole battery of tests. By looking at the "big picture" we found all kinds of things - extremely low DHEA, low cortisol, low iron, low folate etc. It also turned up a marker band for Lyme. Follow up testing confirmed Lyme Disease and also found a chronic C. Pneumoniae infection.
Before i went to her - well, I thought I had CFS that would just never be diagnosed. Part of what she does is hormone balancing - which should improve sleep, help with depression and anxiety, boost the immune system, etc.
I haven't actually been to one of the centers so I really can't comment on that. As far as the approach - without the comprehensive testing I'd still be in an endless loop and not be making any progress.
Treating Lyme doesn't make you feel better in the short term. The bacteria release toxins when they are killed. So I don't feel "better" all the time yet. I do like the approach and think I'm getting excellent care. And a whole lot of support too. My wife goes with me to my appts. and we both feel like this has been a Godsend. I really think we're making progress on fighting the infections.
I know this doesn't directly answer your question, but I hope it helps.
Lyme, anxitey, depression, chronic C. Pnuemoniae
"... expect the unexpected ..." (O. Wilde)
"I am an old man and have known a great many troubles, but most of them never happened." (Mark Twain)