  In the companion paper [Phys. Rev. D 103 (2021) 10, [2101.02951]] we have
derived the short-ranged potentials for the Teukolsky equations for massless
spins $(0,1/2,1,2)$ in general spherically-symmetric and static metrics. Here
we apply these results to numerically compute the Hawking radiation spectra of
such particles emitted by black holes (BHs) in three different ansatz: charged
BHs, higher-dimensional BHs, and polymerized BHs arising from models of quantum
gravity. In order to ensure the robustness of our numerical procedure, we show
that it agrees with newly derived analytic formulas for the cross-sections in
the high and low energy limits. We show how the short-ranged potentials and
precise Hawking radiation rates can be used inside the code
$\texttt{BlackHawk}$ to predict future primordial BH evaporation signals for a
very wide class of BH solutions, including the promising regular BH solutions
derived from loop quantum gravity. In particular, we derive the first Hawking
radiation constraints on polymerized BHs from AMEGO. We prove that the mass
window $10^{16}-10^{18}\,$g for all dark matter into primordial BHs can be
reopened with high values of the polymerization parameter, which encodes the
typical scale and strength of quantum gravity corrections.
