This source explains a use of fat in the production of ceramics.
The condensed version is "the by-product of glycerine, in producing lightweight structural bricks...up to 15 mass% glycerine have been fired at 1050 °C to produce pores...decreased bulk density..,Thermal conductivity of the mixture brick decreased by ...up to a 40% .. suitable as secondary raw materials in ceramic brick production....
The demand for energy efficient structures in building is very high in today's climate due to the current sustainability alert worldwide. The increase in popularity of using environmental-friendly, low-cost and lightweight construction materials in building industry...Thermal conductivity can be reduced by adding pore-forming agents, waste material to the bricks before firing...Another advantage of lightweight bricks is lower transportation costs. However, when thermal conductivity is reduced by increasing porosity in bricks, the mechanical strength is reduced by modifying its composition and microstructure...."
Again, the source is a study on the feasibility of this use rather than about production. It is a lot harder to find detailed info on newer production practices even if they are pretty widespread. Companies don't have much, if any, incentive to share such information with their competitors, for one thing. How widespread this use is must depend a lot on whether there is a higher value use of the fats.