No value is lost; it's better for the community.
But...
Strangling somebody isn't like in the movies, with 10 seconds of UHM UHM and then death. It's hard to fully close the respiratory tract. During a fight, there will always be some extra gasps of air. An entire strangulation might take up to 5 minutes, including strangling them after they've become unconscious. So she might have been strangling him for 3 minutes during the fight and then an extra 2 minutes when he was unconscious, instead of leaving the apartment. This tells a slightly different story. And since the police are going to investigate and are considering charges... I think she would be better off if she just simply stabbed him to death instead.