That does change everything, WTF? There is a huge difference between the optics of a door wide open when responding to a call and a door closed but unlocked.
Yes, the cop was calm, but he still didn't treat the man like a reasonable human being. Instead, he defaulted to treating the man like a criminal and did not deviate from that at any point. Also, I'm not really sure why you feel the need to exaggerate how badly the homeowner communicated. When he saw the cop, he was the one that said he had a gun. The cop told him to put it down, and the man complied immediately. The cop told him to step outside. The man pretty clearly and calmly asked him why and then informed him that he wasn't wearing much clothing. The breakdown came because the cop kept shouting orders instead of trying to communicate. I understand it was a potentially precarious event, but how hard would it have been for the cop to explain that he was there because of the false alarm and that he needed to clear the scene and make sure everything was fine. That should have been a no brainer given the very real possibility that he was speaking to the owner of the house. Once again, you can argue that both of them could have done things a little different to improve how the situation went down, but what you seem to constantly want to ignore is that of the two parties involved, only one of them is a trained professional whose job it is to keep things from going left and the homeowner was not that one.