  We study classical $J_1$-$J_2$ models with distinct spin degrees of freedom
on a honeycomb lattice. For the XY and Heisenberg spins, the system develops a
spiral spin liquid (SSL) that is a thermal cooperative paramagnetic regime with
spins fluctuating around the spiral contours in the momentum space, and at low
temperatures supports a vector spin-chirality order despite the absence of
long-range magnetic order. In a strong contrast, for the Ising moments, the
low-temperature spin correlation forms a reciprocal "kagom\'e" structure in the
momentum space that resembles the SSL behaviors and persists for a range of
exchange couplings. The unexpected emergence and persistence of the reciprocal
"kagom\'e" are attributed to the stiffness of the Ising moments and the
frustration. At higher temperatures when the thermal fluctuations is strong and
the spin correlation is not fully melted, the reciprocal structures evolve from
the "kagom\'e" towards the ones demanded by the soft spin limit. This contrasts
strongly with the behaviors of the spiral contours in the SSL regime for the
continuous spins. We suggest various experimentally relevant systems including
van der Waals magnets such as the transition metal phosphorus trichalcogenides
TMPX$_3$, Cr$_2$Ge$_2$Te$_6$, the rare-earth chalcohalides (like HoOF, ErOF and
DyOF) and other isostructural systems to realize the SSL-like behaviors and/or
the reciprocal kagom\'{e} structure.
