I tend to agree with that review of the video. The video almost always uses interviews and formal questioning by police as it's examples. It really doesn't reference initial contact with police after an incident. The absurdity of the extreme position "I won't talk to police at all" has always been a bit weird to me. First, I am going to call 911 if there is a shooting I am involved with. Second, I want the cops to know my basic story. Beyond that, I understand the dangers of continuing to babble at the police officer and I know I need to make an effort to shut up after the initial information is passed on. Now, once I am beyond the initial incident response, then certainly I think people should lawyer up and make sure any police contact is done through the lawyer or with the lawyer present.
And whatever you do, don't try to joke with the police officer or make any comment on marksmanship.
I just really cannot understand the idea that someone would call the police and then not say anything but "I want to talk to my lawyer first". IMO, you almost guarantee the initial investigation will be with you as the bad guy.