Did you know that #CO2 can be used as a #refrigerant gas in #heatPumps? And that it's very efficient at it.
It requires significantly higher pressures than typical refrigerants gas but it doesn't require a chemical plan to fiddle with fluorinated products, and that seems to be a huge plus. Also, it is cheap, guaranteed not to have any undesirable effect we might discover later, non-flammable, non-toxic and has a GWP of 1.

With a COP above 3, the global #efficiency of a combined-cycle methane power plant + transmission loss + point of use COP gives a higher efficiency than burning the methane directly even in the best furnace money can buy.
And we know very well how to store hot water, so spreading daily peak heat demand without massive *electricity* storage is much more feasible.