‘Kind of miracle solution’: How Paris is harnessing the Seine to replace air-con
(www.theguardian.com)
I don't think you grasp the sheer volume of water flowing through the Seine. Even after the planned expansion that triples the size of the system, under drought conditions it'll only raise the temperature of the river by about 1.5°C, and most of the time it'll be much less than that. Sure, the river isn't big enough for the system to cover every building in Paris, but this expansion is sustainable.
Some kind of ground-based heat exchange system would probably be ideal. That way in the summer you can dump heat deep into the ground, and in the winter you can run the system in reverse to reclaim what remains of it for heating.