The problem is actually with the head armature. Asymmetry in anim01 will always distort the model's face, no matter how symmetrical a head mod is Maybe this was done to avoid the "uncanny valley" effect, or maybe just out of sloppiness. Whatever it was, to actually fix face asymmetry, you need to do a full revision of the head joints in anim01. I took a couple of steps in this direction once, AnimAsymmetryFix from here https://www.klubexile.com/files/file/7304-murka/ should correct at least brows and eyes, but completely recalculating all the necessary joints is a non-trivial task.