This paper computes the genuine projected Weyl source for anisotropic warped Riemann--Cartan backgrounds and inserts it into torsionful twistor transport. For Bianchi-I/Kasner data, the source contains both Hubble-rate and time-derivative terms, correcting derivative-independent warp formulas. The resulting source drives an affine twistor displacement while leaving the Nieh--Yan holonomy charge robust at the linear level.
Hiroyuki Shioiri (Fri,) studied this question.