This is BS. I remember something like this hit the forums at hairlosshelp ages ago (about the ALS/SLS issue). Promoters of organic shampoos like to point to some old study that suggested that these agents affected hairloss. According to the op there, Farely, that study was long since debunked. If it were true, why would almost every shampoo still use it?
Not washing your hair is only going to leave topical residue, oils, dirt, and sebum on your scalp, which will will reap havok. This is total bs. Wash your hair.