Not sure why you're putting
lauric acid in the higher-percentage category. It looks to me like
palmitic and oleic are the fatty acids (FAs) that have the highest percentages in soap per Kenna's charts. That makes more sense to me based on what I see in most soap recipes.
IMO, it can be more useful to group the straight-chain, saturated FAs into pairs rather than look at them individually, because that's how these FAs are supplied by the common soaping fats.
Coconut, palm kernel and babassu are rich in lauric and myristic, the FAs that make highly soluble, hard soap with fluffy lather. Lauric acid and shorter-chain FAs also can be drying and sometimes irritating to the skin, especially sensitive skin.
Lard, palm, tallow, and the butters are rich in stearic and palmitic, the FAs that make low solubility, hard soap with dense lather. Even the typical commercial "stearic acid" that many people use to make lotions and shave soaps is actually a blend of stearic and palmitic, not pure stearic.
The unsaturated FAs don't pair up, so it's useful to look at them separately. First are the mostly monounsaturated fats rich in oleic acid -- olive, avocado, etc. -- which make high solubility soap with dense lather.
Next are the mostly polyunsaturated fats rich in linoleic and linolenic acid, -- hemp, grapeseed, pumpkin seed, etc. -- which also make high solubility soap with dense lather. Compared with monounsaturated FAs, these fats have a shorter shelf life.
And finally castor oil, a monounsaturated FA with an alcohol (OH) group, which contributes ricinoleic acid that enhances lather stability.
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The lye concentration is not arbitrary. Higher lye concentration (less water, lower water:lye ratio) works better for fats high in oleic and linoleic acids. Lower lye concentration (more water, higher water:lye ratio) works better for fats high in lauric and myristic acids.
There are no black-and-white numbers to use, however, because the lye concentration that works best doesn't depend on just the FAs in the soap. It will also depend on the amount of stick blending you do, the starting soap batter temperature, how you treat the soap when its saponifying in the mold, the use of additives including fragrances and colors, what decorative swirls you do (or don't do), etc.
An article I wrote:
https://classicbells.com/soap/waterInSoap.html
An article by Roberto Akira:
http://www.japudo.com.br/2013/05/14/the-importance-of-lye-concentration/