Answer :
Personally, no. If there is a crime in progress, and there is a shoot and kill, the officer needs proof that the suspect was, in fact, doing crime and the officer was in danger. It is not an invasion of privacy if it is in a public place (because you're in public, you are most likely being recorded), but it would be invasion of privacy if an officer were to walk into a random person's home and start recording (without a warrant or probable cause).