It *is* relevant insofar as with HP you can control the type of fat that is the SF. I agree there.
But ... not my point, which was to point out that from a "big picture" standpoint that SF is the unsaponified fat remaining in finished soap - regardless of how it got there. Yes, as you "drill down" into the details then distinguishing characteristics are made to differentiate the finished soaps.
Regards-
Dave
Right. If my earlier post sounded like I was saying something different, it was not intentional. I guest I should have said "since your *particular/special fat* is unsaponified. . ." Because of course your "SF" is unsaponified.
Let's say you have a CP soap made of 500 grams of olive oil, 100 grams coconut oil, and 31.5 grams shea butter, with a 5% lye discount. Your superfat/lye discount will be composed of some mixture of olive, coconut, and shea. It is highly likely that at least some of the shea butter will be saponified, and we know that the same fat can bring different qualities to the bar, depending on whether or not it's saponified.
Then you do an HP soap made of 500 grams olive oil and 100 grams coconut oil with zero lye discount, and you add 31.5 grams of shea butter after the cook. In this scenario (theoretically, anyway) none of your saponified fats are made of shea butter, and none of your unsaponified fats are made of olive or coconut oil. Thus, if you're looking at the characteristics of the fats when they're saponified vs. unsaponified, your HP soap has a different composition than the CP, even though the recipes use the exact same ingredients in the exact same amounts.
(I didn't bother to calculate whether 31.5 grams of shea butter in this example is actually equal to 5% unsaponified fatty acids, and not just 5% of the weight, but I hope the concept is clear anyway.)
Kisha, you asked "But wouldn't it make a difference in the chosen fats unsaponified as compared to not having a choice in CP because of the different qualities in each oil?" In my opinion, yes, absolutely! (Assuming your post-cook SF oil is in a meaningful quantity, etc.) So I don't think the difference between CP and HP is necessarily minimal at all. Depending on how you approach it, it can be very different indeed!
I'm curious: if you weren't superfatting after the cook or using a FO that's known for very bad behavior, and you knew that HP doesn't equal "instant cure". . .why did you hot process your soap?