I was wondering whether it is necessary to reinstall the CUDA toolkit after a drivers update.
I think that the tools are compiled with nvcc, which is installed with the toolkit, so I think it should not be necessary, and one can simply keep updating the drivers as soon as a new release comes out. Correct?
Correct, you can keep updating the drivers while keeping the CUDA toolkit “as is”. I am still on CUDA 7.5 but update my driver package every three months or so.