For me, as veteran and as a former police officer, every sudden death that takes place outside of a medical facility is investigated by a police officer, at least everywhere I worked. We have boxes to check on a form. We used to call it a preliminary report of death. Why don't we put a box or a chapter there asking if the person was a veteran?
The answer could be yes, no or unknown. Take the effort to find out if they're a veteran, and then we can start tracking this.