  We prove that there are some relative $\mathrm{SO}_0(2,q)$-character
varieties of the punctured sphere which are compact, totally elliptic and
contain a dense representation. This work fills a remaining case of the results
of N. Tholozan and J. Toulisse. Our approach relies on the utilization of the
non-Abelian Hodge correspondence and we study the moduli space of parabolic
$\mathrm{SO}_0(2,q)$-Higgs bundles with some fixed weight. Additionally, we
provide a construction based on Geometric Invariant Theory (GIT) to demonstrate
that such moduli space we find can be viewed as a projective variety over
$\mathbb{C}$.
