Yeah, I'm from Germany and we experienced this second-hand in 2022, when lots of French reactors were either in reparation or had not enough cooling water during the drought, so France imported tons of power from us and drove up prices.
This all happened on top of inflation and the Russian conflict, so hard to say how much it actually influenced prices, but those were quite high in the end, so presumably not nothing.
Without this happening, I probably wouldn't have been acutely aware of nuclear producing much heat. Obviously, they do have those massive cooling towers and I have read before that it's just another form of steam power, but you know, never properly thought about it.