If they let or fail to aid the captain then the person replacing the fallen officer may look at the characters in a different light. If I were a newly anointed captain and knew how my predecessor died; I'd keep an eye on the bunch. Just in case, ya never know.
I've used the concept myself with noble/suicidal attempts to save important NPC's lives. The best I've ever had was a PC who risked his ST career to save his wife dying of an unknown disease. Got punished for his actions, but earned some points with me for his actions.
"The misery of being exploited by capitalists is nothing compared to the misery of not being exploited at all."
-Joan Robinson, economist