  We critically discuss the results reported in arXiv:2311.17994v1 by L.
Oppenheim, M. Koch-Janusz, S. Gazit, and Z. Ringel, on the multicritical
behavior of the three-dimensional Ising-Gauge model at the multicritical point.
We argue that their results do not contradict the theoretical scenario put
forward in ``Multicritical point of the three-dimensional ${\mathbb Z}_2$ gauge
Higgs model'', Phys. Rev. B 105, 165138 (2022), arXiv:2112.01824, that
predicted a multicritical behavior controlled by the stable $XY$ fixed point of
an effective three-dimensional ${\mathbb Z}_2\oplus {\mathbb Z}_2$
Landau-Ginzburg-Wilson $\Phi^4$ field theory. Actually, their results, as well
as all numerical results reported so far in the literature, are consistent with
a multicritical $XY$ scenario.
