Is it economically viable to run though? Natural draft towers or direct body of water cooling is used almost universally since it doesn't take any extra power. A large chunk of the powerplant's output would be running heat pump compressors to stop itself from exploding.
First of all you can't retrofit every npp with that, it's a lie. And eve; if you could, you are correct, it's financially not viable. Renewable energy is always the cheaper option by far.
Fully closed loop is probably not viable. But I suspect that's not the extreme GP might have meant.
If for the sake or discussion we simplify cooling to four options:
1: just passing river water through a heat exchanger for cooling
2: ingesting river water, using it for cooling, then passing it through a cooling tower before returning it to the river
3: pass the water output from the cooling tower directly back in the cooling loop, only ingest enough water to replace evaporation
4: fully closed loop via direct heat exchange with air
Then 4 is not very viable. But a lot of nuclear plants are stuck at 1 or 2, and each step up the ladder would allow them to operate in worse conditions. This one seems to be at version one