The headline absolutely makes sense for the US market. The default terminology in the HVAC industry here is that an air conditioner provides cooling, and a heat pump provides heating and cooling. It’s really that simple and correct in this case, as that’s the common understanding in the industry.

Obviously other countries, thermodynamics textbooks, and other applications like refrigeration use different terminology. But holy shit it’s not that hard and we don’t need to get all pedantic using definitions from other industries that don’t apply to this narrow topic.