Personally, I think Shinigami's personality is based on Monokuma, if he was an actual person and not a killing-game mascot. She constantly comes up random quips, and is obsessed with mysteries involving murder. Thankfully, she's not completely like Monokuma, and is has her own characters traits.
So uhhhhhh, fun fact, Kodaka iirc *actually* asked people(concept artists) whenever he saw the concept art to make Shinigami sexier and sexier. To the point that is has multiple jiggle physics where they are...not needed lmao. (Basically each boob having their own "bone" while usually boobs are given only one "bone" from what ive heard. In 3d modeling i mean.) I do still like her character nevertheless, even if I'm not really a fan of exaggerated....motions. Forgetting about that for a moment, Mystery dungeon. It's a fun place. While it *does* act like minigames in class trials, the atmosphere and execution make it really fun and unique~.