So DeeAnna, do lauric and myristic gel at lower temps, or do the react easier/faster thus releasing heat faster? Both maybe?
The key point is that this kind of soap will go to gel at lower temps. Whether this type of soap also saponifies faster, I can't say for certain, but even if it does, that's not really the issue -- adding insulation or using a CPOP method will compensate for that. What's more important is this soap will go from a solid phase into a gel phase at lower temperatures than other types of soap, all other things being equal.
*** Geek Alert -- science-y explanation follows! ***
Researchers have made soap using a pure fatty acid and then tested the pure soap by varying its temperature and water content. What they end up with after all the science is done is a strange "phase diagram." This diagram outlines the temperatures and water contents where the pure soap is "curd soap" (aka solid soap), where it turns into "neat" or "middle" soap (aka different types of gelled soap), and becomes an isotropic solution (a watery liquid mixture).
The clearest phase diagrams I have are for potassium (KOH) soaps, so that's what I'm sharing below. I don't have a full set of sodium (NaOH) soap diagrams, and the few I do have are from various authors and tend to be harder to follow.
The image below is an excerpt from a larger phase diagram for potassium oleate. This is the soap made from KOH and pure oleic acid. The black angled line on the left shows the boundary between phases -- to the left of that line, the soap is solid (curd). To the right, the soap is a gel (neat). The second angled black line on the right is something I'm going to ignore in this thread, but that one is of interest to a liquid soap maker.
The red horizontal line shows the effect of water content on the soap at a constant temp of 20 C (68 F). At that constant temperature, potassium oleate is curd soap (solid) when the pure soap content is 75% to 100% (meaning the soap contains 0% to 25% water). As the water content increases from 25% and up to about 80% water, the soap changes phase to become "neat soap" or what we call "gelled soap". As the water content increases above 80%, the soap becomes an "isotropic solution", meaning a watery liquid.
The blue vertical line shows the effect of temperature on the soap. Let's take some potassium oleate soap at 80% pure soap (and thus 20% water) and warm the soap in the oven to 75 C (170 F). As the temp rises from 20 C where the soap is in solid form, the soap will shift into "neat" (gel) form about 40 C (105 F).
So the phase diagram for potassium oleate shows there are two ways to make any given soap go into the gel (neat soap) phase -- increase the water content or increase the temperature. Or both. So you can use a lower lye concentration (more water) and/or soap warmer if you want the soap to be more likely to gel.