The amount of CO2 is orders of magnitude more than the amount of radioactive waste; you cannot just build “one factory in Nevada” and sequester all the carbon dioxide produced.
That process absorbs CO2 from the atmosphere at low concentrations (400 ppm) onto stones coated with X-material. Later the stones are heated (using more fuel) to release CO2 at much higher concentrations (more than 75%). Then what? It is a gas. You need to bury the carbon. They suggest feeding it to greenhouses, to grow food, which re-releases it later.