  In generic Friedmann-Lema\^itre-Robertson-Walker spacetimes, States of Low
Energy (SLEs) are defined to minimize the regularized energy density smeared
along the time-like curve of an isotropic observer, which is specified via a
smearing function. For every smearing function, SLEs are unique (up to a phase)
and are shown to be exact Hadamard states. In this work, we investigate the
viability of SLEs as the vacuum for cosmological perturbations in hybrid Loop
Quantum Cosmology, motivated by the fact that SLEs have been shown to provide
suitable vacua in models where a period of kinetic dominance precedes
inflation. We find that there are two classes of smearing functions that can be
seen as natural choices within this context, for which the corresponding SLEs
and the resulting power spectra at the end of inflation are quite insensitive
to the exact shape and support of the smearing function. Furthermore, a
preliminary analysis of the tensor-to-scalar ratio and of the spectral index
indicates as good an agreement with observations as that of standard cosmology.
