Like many commercial soaps marketed to bourgie ppl, Bronner's takes the "saponified oils of ___..." approach, rather than listing lye as an ingredient. This is probably smart, as uninformed/semi-informed ppl are absolutely
terrified of lye, and the "saponified oils of" phrase is technically correct. As a result, I've revised my labeling strategy.
I've spoken with a number of ppl who swear that Bronner's (and similar products) is lye-free, and that's technically true for reasons that are covered exhaustively on this forum and elsewhere, but you're absolutely right that you cannot make soap--you cannot
saponify an oil-- without lye (or a similarly alkaline substance, like KOH.) But these casual soap enthusiasts aren't claiming that Bronner's is lye-free in the sense that the lye was basically neutralized in the saponification process; they think that there was never any lye in it, as they tend to make these statements right after they express some distaste/terror at the fact that i use lye to make soap.
As for the vegan-ness of lye: the 99.9% pure food grade stuff I buy is supposedly almost exclusively made up of sodium hydroxide. Those 2 elements are presumably vegan in and of themselves, but I cannot say for sure that the means by which most commercially available lye is produced is technically vegan. A cursory google search turned up this page:
http://vegan.fm/2010/08/sodium-hydroxide/ ; doesn't seem very informative, but it is good enough for me. I'm just a semi-repentant carnivore. :shock:
As for the health store clerk: I wouldn't call her an ***** based on this story, but she is obviously misinformed and guilty of at least one count of talking out of her undies.