Ayoob is the king of self defense shooting law. But I do disagree with him for what to do after a shooting. Maybe another thread might be in order.
The issue is people like to talk (become chatter box). And once you get to talking, especially under stress, someone might say something that screws them. Ayoob mentions to tell the cops what happened (the why u shot), and point out/tell them any witnesses and evidence. This was all fine decades ago when the courts/prosecution weren't so eager to prosecute someone due to politics, but IMO in today's environment, asking for a lawyer and staying silent is the way to go. 1 thing I do totally agree on is not pleading the 5th. Because this makes you look guilty. Read what the 5th states. Instead, just ask for a lawyer and exercise your right to remain silent.
In my interrogation class I took at UH around 2009, is where I learned interrogation/interview techniques and how people like to talk. Even in the beginning, they may stay silent, but give it enough time sitting for hours in an interrogation room alone, then people are more likely to open their mouth. Or talk about some other not related topic like a football team. I find this true for myself. For those who don't know, I'm a talker. So I can see what could happen to me once I begin talking about evidence and stuff. Maybe the way to go for a chatter box is to point at the evidence, like the knife on the ground. And point at who you think saw.
Again Ayoob is the king of this stuff and I'm a nobody. But this is just my $0.02 that I feel he is behind on today's hostile 2a environment. Sometimes it takes a new set of eyes to notice things.
I had an opportunity to take his MAG40 class in 2020, but covid hit and shut the nation down.