ROB, you imply that anything made with lye is inedible. if you take lye (sodium hydroxide) and hydrochloric acid, both of which are inedible, and mix them together, you get sodium chloride, which is clearly edible.
There’s a difference between inedible and unpalatable. Google “worst tasting foods.” Google “people who eat soap.” And animal fat is still not an emulsifier.
I googled “dog ate soap.” The first result was on a vet’s website in which she said “I have seen a number of dogs that really like eating soap. I have no idea why!” QED.