It might be easier to understand if you view the products from their level of lather instead of their ingredients, as Lorraine Massey's CG method is based on this concept. The in-detail focus on which surfactants to use on hair really came about by other folks out there trying to suss things out for themselves...

No-poo = cleansing conditioner (zero lather)

Low-poo = shampoo with mild detergents, mild (read: very low) lather [these can't really contain sulfates if the lather is low] *According to CG method wavies and some curlies could do well with these on occasion if build-up occurs*

"Sham-poo" = traditional shampoos (may or may not contain sulfates, has moderate lather) *According to CG method, most curlies should do fine without this product*

Clarifying shampoo = high detergent shampoos (ie, in higher concentrations than traditional ones) meant to thoroughly strip the hair of oils, dirt and grime (highest presence of lather) *according to CG method no curly should ever need this product*

So the more lather, the more stripping the product, which is why LM emphasizes no lather for curly hair (quotes from her camp: "there's no magic in bubbles" and "your hair will love a bubble-free diet"). Ultimately because every head of curls is different, you will need to make that decision for yourself and do what works for you.

Hopes this helps.

Edit: in terms of mineral deposits, Curl Junkie Daily Fix is a cleansing conditioner that contains chelating ingredients such as tetrasodium EDTA (which aren't the same as sulfates) so you don't need a sulfate based cleanser to get build up out of the hair, just look for that ingredient. You might also want to do a Google search for chelating ingredients to find out other types to look for as well.
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Last edited by artemis513; 10-13-2012 at 11:34 AM. Reason: add'l thoughts