Nuclear is not used for any of those either. And to use nuclear for heat and transport the easiest way is to just turn it into electricity and use EVs and heat pumps. So we're back to how to clean up electricity.

Cleaning up the grid isn't just useful for the immediate emissions benefit, it's also because if you concentrate the clean technology there you can decouple the problem and clean up everything else by electrifying. There are things like fertilizers and steel where we have more than just the energy input to clean up and even those have solutions based on electrification.