  We assess whether a confined Wigner molecule constituted by $2N$ fermions
behaves as $N$ bosons or $2N$ fermions. Following the work by C. K. Law [Phys.
Rev. A \textbf{71}, 034306 (2005)] and Chudzicki et al. [Phys. Rev. Lett.
\textbf{104}, 070402 (2010)] we discuss the physical meaning and the reason why
a large amount of entanglement is needed in order to ensure a bosonic composite
behavior. By applying a composite boson ansatz, we found that a Wigner molecule
confined in two dimensional traps presents a bosonic behavior induced by
symmetry. The two-particle Wigner molecule ground state required by the
composite boson ansatz was obtained within the harmonic approximation in the
strong interacting regime. Our approach allows us to address few-particle
states (widely studied within a variety of theoretical and numerical
techniques) as well as a large number of particles (difficult to address due to
computational costs). For a large number of particles, we found strong
fermionic correlations exposed by the suppression of particle fluctuations. For
a small number of particles, we show that the wave function calculated within
the composite boson ansatz captures the Friedel-Wigner transition. The latter
is shown in a regime in which strong correlations due to the Pauli exclusion
principle arise, therefore, we conclude that the coboson ansatz reproduces the
many particle physics of a confined Wigner molecule, even in the presence of
strong deviations of the ideal bosonic behavior due to fermionic correlations.
