I mis-remembered. I DID do a side-by-side test, as I reported
here for dual lye Castile.
What I have not done (that I can recall ATM) is a side-by-side testing of a multiple oil soap as dual lye against a control of the same recipe.
Since, I said above that I would do this, I went ahead and did another hand-washing test of the 13-month old dual lye Castile against a NaOH-only Castile of a similar age. I did not find one the exact same age, so used one that was 18 months old.
Testing Castiles for a difference in lather with or without 5%KOH is probably really not necessary because Castile produces a lot of lather anyway. Some people don't like Castile in the first place, and some don't like the lather than Castiles produce, so this may not be the kind of testing that a person who doesn't like Castiles would find helpful anyway. But that's what I said I would test, so here are my results.
18-month old Castile made with only NaOH: Bubbles are fast to appear. Lather is pleasant and abundant. Not snotty. I was unable to produce the snotty slime with this soap when I pull my hand away from the soap. Leaves my skin feeling quite nice for hours afterward.
13-month old Castile with 5% KOH (95% NaOH): Bubbles appear a bit more slowly. Lather isn't as pleasant as the longer cure Castile, but that is to be expected in my experience. Somewhat snotty still, although not overly much, a few very thin strings that break at about 1.5 inches from the bar, but this still only happens with the first washing. After wetting the bar a second time to try the test agian, there are no slime cables as I lift my hand away from the soap. (Until the next day when the soap has dried, then it does happen the first time, but not the second time.) Subjectively speaking, I don't find this to be a problem, because this is not something I normally do when I wash my hands.
So my conclusion is that the dual lye in Castile does not help with reducing snot in Castile soap any earlier than it already does as a NaOH-only Castile,with a sufficiently longer cure. For me, I find that curing for 18-24 months produces really good results and a Castile soap that is slime-free. I believe that was part of what I was trying to achieve.
Regarding the 'softer soap' issue mentioned by Dean on page 1 of this thread, I don't experience that with Castiles and so far have not experienced it with my other recipes.
The quote below is from another thread about dual lye Castile soap I made in 2016.