A run flat tyre is potentially more resilient to pot holes than an all-season or winter tyre due to the stiffer sidewalls, but this would also depend on the dimensions of the tyre as a low profile example with a thin sidewall would be less capable than one with a taller sidewall. In addition, run flat tyres require specific wheels to be fitted to ensure the tyre is correctly seated, so unless the vehicle already has the correct wheels this would be an expensive option.