  Two prominent efforts aimed at probing beyond Standard Model physics,
searches for a neutron electric dipole moment (EDM) and measurements of the
muon $g-2$ anomalous magnetic moment, employ spin precession techniques. In the
most recent neutron EDM experiment, frequency shifts induced by magnetic field
gradients and $\mathbf{E} \times \mathbf{v}$ motional fields were a significant
source of systematic error. We consider the possibility of a similar effect in
the most recent muon $g-2$ experiment, and find that such an effect could
potentially be as large as $\sim 1$ ppm fractional error, to be compared with
the reported $\sim 0.5$ ppm error.
