I tend to agree that many liquid soap recipes make harsh, drying cleansers. Many LS recipes use a lot of coconut or palm kernel oil to boost the bubbly lather, so they are much higher in myristic and lauric acids. In addition to that, a potassium soap (KOH soap) is more soluble in water than a sodium soap (NaOH soap), all other things being equal. This means a liquid soap with a high cleansing number will be harsher than a bar soap made from exactly the same fats.
I think many recipes are focused on making a clear, bubbly, thick liquid soap. I don't think anyone wants to make LS that strips the hide off, but I do think mildness takes a back seat to the other qualities listed. I'm not any expert at LS recipe design, but it seems to me that we can use the same "numbers" from soapcalc to evaluate liquid soap recipes in the same way that we evaluate bar soap recipes.
I've been using the recipe from Irish Lass and 3Bees in the shower including as a shampoo. It works surprisingly well, and I'm not getting dry or tight skin and my scalp and hair are fine. Here are some of my thoughts about this recipe --
Ingredients:
Castor Bean Oil 10.0%
Coconut Oil 25.0%
Olive Oil 65.0%
3% superfat
100% KOH
Water/glycerin to KOH ratio of 3:1
Use Water wt = KOH weight
and Glycerin wt = 2 x KOH weight
My method:
Dissolve KOH in an equal weight of water. When KOH is dissolved, add the glycerin. Add the hot lye solution to the slightly warmed fats and stick blend and stir until the batter starts to saponify. No additional heat is needed. When the soap turns into a thick taffy-like paste, cover and leave to saponify in peace. When zap free, dilute 1 part paste with about 0.75 parts water.
If I look at the fatty acid profile for this recipe, I'm seeing values that are reasonably close to what I would like to see if I was formulating a solid bar soap --
Hardness (Lau-Myr-Palm-Ste) 30.8% Obviously this has no meaning for a liquid soap, so I ignore it
Cleansing, solubility (Lau-Myr) 16.8% I normally look for cleansing at 10-12%. A number of 17% is a bit high but tolerable. The recipe lathers freely.
Conditioning (Oleic-Lino-Ric) 65.6% This is a very nice number for conditioning
Bubbly (Lau-Myr-Ric) 25.8% The bubbly and creamy numbers are good. The soap makes a nice froth of large bubbles.
Creamy (Palm-Ste-Ric) 23.1% After rubbing the soap on the skin for a few seconds, a dense layer of lather develops.
Saponification (INS) 142.3
Iodine 66.4
Lauric 12.0
Myristic 4.8
Palmitic 11.4
Stearic 2.7
Oleic 47.3
Ricinoleic 9.0
Linoleic 8.7
Linolenic 0.7
I realize this is a little rambly but I hope it gives you some ideas to think about....