  Recently, ultracompact objects have been found to be susceptible to a new
nonlinear instability, known as the light-ring instability, triggered by stable
light rings. This discovery raises concerns about the viability of these
objects as alternatives to black holes. In this work, we investigate the
presence of the light-ring instability in scalarized Reissner-Nordstr\"om black
holes, which have been previously shown to admit stable light rings. We employ
fully nonlinear numerical evolutions of both scalarized black holes with and
without stable light rings, perturbing them initially with spherically
symmetric scalar perturbations. Our simulations demonstrate the long-term
stability of these scalarized black holes, suggesting that the presence of a
stable light ring may not necessarily induce the light-ring instability.
