I wonder if anyone has suggested this, some bleed from our world into the fictional world. Why call a "skin job" "Skinner" if not from Principal Skinner in Simpsons?
"Skin job" is indeed a derogatory slang term for a replicant, as we see in the opening of The Workprint Version of the original Blade Runner.
"Skinner" appears to be an even more derogatory slur, likely meant to evoke the n-word. It also exists to demonstrate that language trends have changed somewhat in the three decades between the films, just as languages evolve in real life.