This limits a lot nuclear facilities placement.
Only in rare cases, such as during revisions or emergencies, they might be unable to cool the condenser using the tower-coolant-loop. Then they might have to warm up the water temporarily.
> you definitely don't want to have a nuke potentially discharging contaminated water near population centres (in case something goes wrong and the discharge needs to happen).
There is no such failure case that a "discharge needs to happen" for the irradiated water. There is a comparatively tiny amount of deionized and supercleaned water in the reactor that is always cycled around. Even if such a case were to occur (how??), the amount of water would be easy to handle/store.
https://en.wikipedia.org/wiki/Kingston_Fossil_Plant_coal_fly...
And Brits are not exactly leaping into action about raw sewage discharges into rivers.