OP, figure out what it is in the story of your dealing with emotional abuse you want an AO to know and how it makes you a more attractive candidate. Tell that.
If you threw yourself into school work out of fear of your parents and then found escape and beauty in fractals, that’s a good story. If your family’s values caused you to question your own or treat people differently in a way that makes you a better friend and community member, that’s a good story.
Your story of personal progress is critical to who you are. But is it the reason a school should admit you? And is it how and why you want to stand out?