  We revisit the mixed derivative extension of Ho\v{r}ava gravity which was
designed to address the naturalness problems of the standard theory in the
presence of matter couplings. We consider the minimal theory with mixed
derivative terms that contain two spatial and two temporal derivatives.
Including all terms compatible with the (modified) scaling rules and the
foliation preserving diffeomorphisms, we calculate the dispersion relations of
propagating modes. We find that the theory contains four propagating degrees of
freedom, as opposed to three in the standard Ho\v{r}ava gravity. The new degree
of freedom is another scalar graviton and it is unstable at low energies. Our
result brings tension to the Lorentz violation suppression mechanism that
relies on separation of scales.
