  We compute the low energy spectral density of transverse currents in theories
with holographic duals that exhibit an emergent scaling symmetry characterized
by dynamical critical exponent $z$ and hyperscaling violation exponent
$\theta$. For any finite $z$ and $\theta$, the low energy spectral density is
exponentially small at nonzero momentum. This indicates that any nonzero
momentum low energy excitations of putative hidden Fermi surfaces are not
visible in the classical bulk limit. We furthermore show that if the limit $z
\to \infty$ is taken with the ratio $\eta = - \theta/z > 0$ held fixed, then
the resulting theory is locally quantum critical with an entropy density that
vanishes at low temperatures as $s \sim T^\eta$. In these cases the low energy
spectral weight at nonzero momentum is not exponentially suppressed, possibly
indicating a more fermionic nature of these theories.
