  The strong cosmic censorship hypothesis has recently regained a lot of
attention in charged and rotating black holes immersed in de Sitter space.
Although the picture seems to be clearly leaning towards the validity of the
hypothesis in Kerr-de Sitter geometries, Reissner-Nordstr\"{o}m-de Sitter black
holes appear to be serious counter-examples. Here, we perform another test to
the hypothesis by using a scalar field perturbation non-minimally coupled to
the Einstein tensor propagating on Reissner-Nordstr\"{o}m-de Sitter spacetimes.
Such non-minimal derivative coupling is characteristic of Horndeski
scalar-tensor theories. Although the introduction of higher-order derivative
couplings in the energy-momentum tensor increases the regularity requirements
for the existence of weak solutions beyond the Cauchy horizon, we are still
able to find a small finite region in the black hole's parameter space where
strong cosmic censorship is violated.
