  We revisited the formalism of 11D polarized scattering equation by Geyer and
Mason from the perspective of spinor frame approach and spinor moving frame
formulation of the 11D ambitwistor superstring action. In particular, we
rigorously obtain the equation for the spinor function on Riemann sphere from
the supertwistor form of the ambitwistor superstring action, write its general
solution and use it to derive the polarized scattering equation. We show that
the expression used by Geyer and Mason to motivate their ansatz for the
solution of polarized scattering equation can be obtained from our solution
after a suitable gauge fixing. To this end we use the hidden gauge symmetries
of the 11D ambitwistor superstring, including $SO(16)$, and the description of
ambitwistor superstring as a dynamical system in an 11D superspace enlarged by
bosonic directions parametrized by 517 tensorial central charge coordinates
$Z^{\underline{\mu} \underline{\nu}}$ and
$Z^{\underline{\mu}\underline{\nu}\underline{\rho}\underline{\sigma}\underline{\kappa}}$.
  We have also found the fermionic superpartner of the polarized scattering
equation. This happens to be a differential equation in fermionic variables
imposed on the superamplitude, rather then just a condition on the scattering
data as the bosonic polarized scattering equation is.
  D=10 case is also discussed stressing the similarities and differences with
11D systems. The useful formulation of 10D ambitwistor superstring considers it
as a dynamical system in superspace enlarged with 126 tensorial central charge
coordinates $Z^{\mu\nu\rho\sigma\kappa}$.
