i'd add that you're also not really in a good position to determine whether it was a 'good shoot' immediately following the incident. While we all would like to believe we'd operate such that it was, being 'in the moment' doesn't really give most of us a good perspective on the matter. Were they fleeing? Was there an extra shot or two? Any number of things could have happened while you were focused on the 'threat'.
Plus, being able to keep your story straight 20 minutes post incident and again months later in court (criminal or civil) is tough. A good lawyer wont let you talk with the cops until you've calmed down and can give a statement with a clear head (or any attorney worth what you're paying them).
Correct. A LEO involved in a shooting gets several days off to settle down and obtain legal representation without being interviewed.
Keep your mouth shut and ask for representation if involved in a gun altercation.