I finally watched the set of videos. I guess I see it from a number of points of view.
1. Yes, the lawyer and cop in the video are citing examples of criminals who essentially confessed along with one or two who were not criminals.
2. Notice also that many of the examples were of a lawyer allowing cops to interview their client about an incident. It had nothing to do with giving base facts at the scene of an incident.
3. I was putting my self in the situation of a home invasion where I had to shoot an intruder. I can't not say anything in that situation. I need to call 911 and report it and then I need to give the cops who arrive a quick run down of what happened. However, I don't need to get all chatty or get into long discussions. Just tell them the base facts in as few words as possible. "They broke in the front door, I saw them, I feared for my life or saw a weapon or heard a threat, I shot them....." I have never been in that situation so I don't know what I would be asked or what would be relevant, however, I honestly cannot see saying nothing in that situation. After base facts, I think you are perfectly fine just saying that "my heads scrambled right now, I can't talk to you right now"
4. In a similar self defense situation on a street or somewhere outside, the home, I can't see the situation any different. I realize most people are going to be stressed and chatty in a situation like that so I can see why a lawyer would tell you to say nothing. I just don't see how you can really do it. You need to at least say "he attacked me, I feared for my life" or something of that sort. Otherwise, some circumstances might look like a murder scene to cops showing up.
5. I am glad I live in Texas where I am more likely to get favorable treatment in the aftermath of a self defense event.
6. I was a little surprised about that little gem that while a cop can testify against you based on what you said, you cannot get him to testify for you based on what you said to him. That seems a bit strange. I would have thought that once a witness' testimony is allowed, it is all allowed.