No continent currently runs on nuclear power, not even a single country currently runs on nuclear power. Nuclear power is hence unproven at scale by your logic.
France generates over 70% of it's power from nuclear energy. At it's peak it was over 80%, with the remainder fulfilled by preexisting hydroelectricity.
France gets 70% ef its electricity from nuclear. It only gets about a third of its primary power from nuclear. Clearly, the technology can't handle the task if the country can't even run its electric grid on 100% nuclear. /s
