Once the cat is poisoned and damaged, there is only a slight chance of revival,
E.g. if the engine was burning oil and you put cheap api-sg 20w50 oil, or the engine was driven with severe level misfire or a bad working maf sensor, it will destroy the cat converter beyond revival.
Toyota installs the best cat converter in the world, and their ecu monitor it 90% efficiency, under normal run circumstances they will run forever, but if poisoned and killed to make them below 90% efficient, the ecu will never clear the p0420 code.