For your father's gas heating, this really sounds like an emotional decision. Modern gas heating produces the same heating as reverse cycle, where air is passed over a hot bit of metal and expelled into the room. One bit of metal is heated by an enclosed and externally ventilated flame and the other bit of metal is heated by a heat pump, but the interior side is practically the same. He might be paying hundreds or thousands of dollars a year because the fan in the gas heater happens to blow the hot air more where he wanted it or more where he was used to it.