  Horava-Lifshitz gravity models contain higher order operators suppressed by a
characteristic scale, which is required to be parametrically smaller than the
Planck scale. We show that recomputed synchrotron radiation constraints from
the Crab nebula suffice to exclude the possibility that this scale is of the
same order of magnitude as the Lorentz breaking scale in the matter sector.
This highlights the need for a mechanism that suppresses the percolation of
Lorentz violation in the matter sector and is effective for higher order
operators as well.
