My experience is similar.
There was even discussion regarding whether to say something like, "I shot him because I feared for my life".
There is no obligation on the part of an investigator to believe such a statement. So any notion that making such a statement will eliminate arrest, transporting, booking and bail is not really justified.
If the circumstances don't themselves argue that a shooting was justified, the statements of the shooter isn't going to change that.
My decision is to say nothing. I have also explained to my wife that she can't be compelled to testify against me and therefor she should say nothing as well.
If the authorities can't even determine whether it was my wife or me who fired a shot, it in no way denies them their ability to prosecute a crime. Since I have a right to remain silent, I intend to use it.
Yep, that was the first thing we were told to say in an incident.......