One of the best criminal defense attorneys I have ever seen always advocated for asking for counsel if the coversation with LEO went beyond name. Then, after discussing the situation, he often encouraged clients to talk with the police, especially in self defense situations. His belief was that in a defense situation, you need to tell your story. As a potential defendant, you can tell it to the investigator, or you can wait until you are charged and tell it to the jury/judge at trial. His goal was to avoid trial, or evwn charges if possible, so agreing to an interview with counsel was his advice. I find it sound advice, and is my plan (and yes I have his home number in my cell phone).