I found that I had a save from just before this issue started to happen.
I transformed into a werewolf and his face looked normal! BUT! His textures were completely black. I could go into CAS and repaint him, then the textures appeared again. HOWEVER! Once I had done that and went back to the sim-form, I could no longer access hairs/beards etc
https://i.gyazo.com/beb480dbb2968c3b41b1b00a09e282c2.png
There is nothing there. I could access hairs and all BEFORE I went and repainted my werewolf. After I had gotten the textures back on the wolf, this menu showed up empty instead.
Edit: Forgot to add the textureless puppy
https://i.gyazo.com/447ca33ed960238942b5efc10ba26c85.png