I found out why no small scale soap makers superfat by acidifying. With no superfat (pre-acidification stage), soap is very solid (unless you used KOH, of course). Even when hot, it breaks into a crumbly mess. It does not melt into a gel as our more usual recipes do. A few hours after making the soap, adding the acids was like rebatching. It did not mix. I had to mush it all together with my (gloved) hand, though it was still hot enough to be uncomfortable through the glove. This was despite the recipe having 35.5% water PPO, which is not terribly low. (That came to a 2:1 water:lye ratio because I used a large lye excess.) Remember, at the crumbly stage, no acids were yet added, so hardness can't be attributed to sodium acetate. I just added more water and heated it.
Other notes: trace happened within three minutes and gel phase within five. Fats were 60% lard, 15% olive, 12% canola, 10% coconut, and 3% castor oil. The choice of oils might seem to explain why it's so hard, but I've made other HP soaps from hard oils, and they are not hard when hot (even the next morning). The difference is that this one has absolutely no SF in the first stage. Also, this recipe might not lather well, so I added 0.83% sugar PPO.
What would be the difference between a soap superfatted this way and a soap superfatted the traditional way, but with sodium citrate and sodium acetate as additives?
An acid-superfatted soap would have let the oils react with lye more completely. It would produce a couple percent more glycerin, and everything else (proteins?) that could react with lye would do so. That's why I thought it would reduce DOS: if impurities are involved, maybe they would be destroyed by the excess lye. With normal SF soap, there is no excess lye.
Edit: Total oils: 300 g. Water: 105 g. NaOH: 50.6 g. Hot process, cooked on low heat until gel phase. Additions some hours after gel phase: 4.5 g glacial acetic acid, 7.5 g citric acid, 10 g water, 2.5 g sugar.
After mixing in the last ingredients plus extra water (at least 20 g extra), the soap became even thicker. I kneaded to break up lumps and get the acids evenly distributed, then put the soap in a double boiler to hopefully melt it again. This acidification plan might have worked if I had cooked at higher temperature and if I had left it on the cooker the whole time, never letting it harden.
Edit 2: after remelting everything it became a cream. Additional snag: the soap fractionated. I kept finding darker yellow waxy looking bits and stirring them back in. I hope this has no effect. I spooned the custard-textured soap into my mold.
Verdict on the smell: it smells like lard-based soap but not at all like the lard that went into it. I count that a success. However, the procedure is bad, needing more heat and more water than other HP soaps. (Aside: I wonder how this compares to using sodium lactate in HP soap.) A better way to avoid lard odors is to use better smelling lard and process the soap at a low temperature.