Fry King lard and Bacon Soap
I looked up the brand you mentioned and Fry King does appear to be marketed to the commercial deep fryer user. I am not sure what they mean by "refined" however I suspect it has been hydrogenated, bleached and deodorized (guessing here).
Wow, the bacon fat soap...I agree with you, does not appeal to me at all.
Years ago there was a very high end skincare company, Erno Laszlo and they produced a soap that was black. I remember reading the ingredients and it contained "tallow", so I knew it was most likely beef fat in this "tony", high end, expensive soap. They changed the formulation in the late 1970s using another fat and it is still around.
PS, the soap was not made black by the tallow, it was from what they called "sea mud".