Is there some Satsuki joke that I'm not aware about?
Her library intro:
I kept getting injured again and again on missions, but I fought bravely to the end as the 5th of the Mutsuki-class destroyers.
The actual WW2 Satsuki was frequently damaged, even though Satsuki was typically sent on transport or Tokyo Express missions. Including running aground, getting bombed, getting strafed by aircraft (and losing her captain in that run), and going in for repairs another time for another incident of damage Wikipedia didn't describe, all on transport or escort missions.
She was finally pulled into the Combined Fleet, (I.E. the main battle force,) and promptly got bombed to sinking.
19: Constant WorryDon't die ―
Now look here, you know how I'm always damaged when I return?strangely, everybody starts to worry about me!You've got to take care of yourself, Satsuki!No, this isYou're still injured, Satsuki?
Is everything okay?Kantai Collection 6th DesDivIt's fine, so stay calm!T-t-t-this is bad! Satsuki-chan's injury is gone!... sounds like a serious problem.You weren't hurt? Don't tell me you were... faking illness?It's because of that that when I'm not damaged,Quick, somebody get a stretcher!Don't say that! We'll get you to the hospital immediately!Are you okay? We can take you to the hospital.I'm fine... I'm fine, okay!Dosvedanya...
goodbye in Russian