Earlier quoted context omitted.
Coal contains no significant radioactive carbon. All the radioisotopes of carbon have half life many orders of magnitude smaller than the age of coal deposits. Coal contains other radioactive elements, though. However, the quantity of these is still usually less than the quantity that needs to be mined to power a light water reactor.
The point has always been that coal dumps far more radioative substance out to the environment that nuclear ever has, to tamp down illogical radiation scare information about nuclear power.
And the point I make is that if you don't give uranium mining a free pass, then with current thermal reactors your statement is false.