Hmmm, Air Conditioners are heat pumps as are fridges. Pumping heat rather than generating it comes in at roughly 1/4 the energy budget.
An innovative "Air Conditioner" that could store the usually dumped heat for later use (Say in preheating water for a hot tap to lower costs of heating) would probably be extremely popular if it was a decent product otherwise (Cheap, durable, easy to install).
Effectively what is needed is a set of technologies that allow heat to be moved around and stored as easily as electricity and for a lower cost than generation.
If we had those then you'd have the best of both worlds, technologies that reduce climate change as well as allowing the non-first world to make life more comfortable in a warming world.