  Recently, Li and Bambi proposed a hypothesis that the event horizon of a
regular black hole can be destroyed because these objects have no gravitational
singularity and therefore they are not protected by the weak cosmic censorship
conjecture (WCCC). In this paper, to test their hypothesis, we perform the new
version of the gedanken experiments proposed by Sorce and Wald to overcharge a
near extremal static electrically regular black hole. After introducing the
stability condition of the spacetime and the null energy condition of matter
fields, we derive the first-order and second-order perturbation inequalities of
the perturbation matter fields based on the Iyer-Wald formalism. As a result,
we find that these regular black holes cannot be destroyed under the
second-order approximation after these two perturbation inequalities are taken
into account, even though they are not protected by the WCCC. Our results
indicate that there might be some deeper mechanisms to protect the event
horizon of the black holes.
