I don't like diva very much, when I first got showtime I gave it to a child who had rolled the singer LTW not really knowing what it entailed and boy did I wish I hadn't, she was evil from birth and adding diva to that was a nightmare, I play evil sims a lot, even play evil, hot headed, dislikes children sims sometimes and there are pussycats compared to an evil diva.
Then get somebody like Pat the IF in my immortal dynasty, a mean spirited evil diva and it's even worse. For me it's sometimes the trait combinations that cause the problems not always the traits on their own.
I love to play inappropriate sims, but the autonomous smooching that inappropriate NPCs do isn't so enjoyable.
I can't tell you how many times my self sim has had to fight off her father in law Tom Shallow over various games, I remember one game I cancelled it about five times in a row, he was practically chasing her around the house