"...DeeAnna do you mean that the saponified mono & polyunsaturated fatty acids (Sodium of Oleate, Linoleate & Linolenate) can go rancid just like the unsaponified ones (Oleic, Linoleic, Linolenic fatty acids) but much much more later?..."
I'm not any expert on this issue, but I do know these things from my reading --
There are two chemical processes that break down fats and fatty acids -- oxidation and rancidity. The first series of chemical reactions of a fat or fatty acid is the reaction with oxygen (oxidation) and/or with water (hydrolysis). These reactions can be catalyzed (accelerated) by exposure to light, water, and oxygen, and by contamination with certain metals. Fats hydrolyze into fatty acids and glycerin. If there are double bonds (monounsaturated and polyunsaturated) in the fatty acids, then oxidation breaks those double bonds in the fatty acid. Even the saturated fatty acids will eventually begin to oxidize, although more slowly than the unsaturated fatty acids.
If you don't believe me, then think about the fact that we humans eat fat in our diet for energy. Our bodies oxidize the fats and break them down. If fats could not be oxidized, then we could not use fats as an energy source!
After the initial hydrolysis and oxidation of fats and fatty acids, chemical reactions continue that lead to rancidity -- the off color and odor that result from the ongoing breakdown of the fatty acids into aldehydes and other smelly compounds.
I know the thinking is that the sodium part of the soap molecule somehow prevents it from oxidizing and eventually becoming rancid. While I think the sodium (or potassium) ions that make up the soap molecule and the unique crystalline structure of solid (bar) soaps can slow oxidation compared to the original fatty acids used to make the soap, I don't think the sodium and crystalline structure are absolute protection. Commercial soap makers make soap (at least in the US market) with little or no superfat. Even they are concerned about preventing oxidation and rancidity that lead to color changes and off odors. If only the superfat (unsaponified fats) were the ONLY parts of soap that could become rancid, then the commercial makers would have nothing to worry about.