Window mounted units which are the most common don't cycle air either. They have an inside the room loop and an outside the room loop. Same with mini-split sy

Window mounted units which are the most common don't cycle air either. They have an inside the room loop and an outside the room loop. Same with mini-split systems and central AC systems. The vast majority of AC systems don't cycle air for their heat transfer. Not saying that cycling fresh air isn't important, but I don't necessarily think it's the job of the heat pump to do that.