While the article does eventually mention one ingested "detoxing" product, it primarily describes personal care products in the U.K. labeled with the word "detox".
I do not believe that detoxing is a myth for Lyme + coinfection patients undergoing antibiotic treatment. I am a natural skeptic and yet I feel better when I take chlorella or activated charcoal. There's clearly some benefit to them.
Just like cilantro and parsley have been proven to remove certain heavy metals from the body, I am confident that there are many substances that genuinely help remove toxins from the body.
Whether or not peddlers of products are honest about this is a whole different question.
A really good detox procedure is sleep!
"Sleep 'Detoxes' The Brain, New Research Suggests
The brain's nocturnal cleaning service may protect it from Alzheimer's, new research suggests (photo: wiki media)
When you sleep, your brain undergoes a mop-up process that removes waste products linked to Alzheimer’s and dementia, according to new research published yesterday in the online version of Science."
http://www.forbes.com/sites/melaniehaiken/2013/10/18/sleep-detoxes-the-brain-new-research-suggests/