I have used lard in my ls. It will give a bit of a pearl look to the ls. What I did when I was trying to come up with a forumla I liked I made all single oil ls paste. Then I could mix them until I had the feel I like.
Here is an extremely mild LS based on Sally Trew's Recipe for children, cancer patients and people with sensitive skin. She made this for her mom if I remember correctly and it lathers very good. This is now my main LS with a couple of small tweaks. I neutralize with citric acid and thicken with HEC
30% Palm, 29% Olive Oil, 20% Castor Oil, 6% CO, 5% Sunflower Oil High Oleic, 5 % Coco Butter, 5% Avocado. Superfat
-13 (yes minus 13) Water 80 % of oil. The soft oils could be tweaked if you want to leave some out. Lauric is 3 Myristic 1 Bubbly 22, Condition of 68 and Cleansing of 4 in soapcalc
Upping your superfat to 10% will most likely give you a very cloudy LS with a lot of un-saponified oils. You want all oil saponified in LS