Yeah, in practice I think district heating is probably the only way to actually improve on the thermodynamic efficiency of just taking all that high-grade energ

Yeah, in practice I think district heating is probably the only way to actually improve on the thermodynamic efficiency of just taking all that high-grade energy and converting it straight to low-grade heat. Running heat pumps off electricty from non-cogeneration gas plants can only roughly match the efficiency of gas heating, and smaller-scale CHP setups have efficiency losses that make them questionable.