She honestly had hoped that they would still love her if she tried to change things, but that resolve weakened every time she died because of her family. She tried to appease them first, and she probably tried to appease them many more times until she was absolutely done with it, her brother had caused her to snap like in the first chapter because he had requested for FL to kill herself for her little sister.
For this scene, in the novel she mentioned that her power didn't work when she fell off the staircase and that's why she died the 1st life, maybe because her powers were still weak and that day she spent most of them helping her brother, throughout her 7 lives she also tried to change things multiple time but never completely felt emotionless, some details of her past life will come in later chapters, with each life she tried to change things but this life is different because she feels completely emotionless towards her family.
A site it was translated completely, is deleted now but you can read upto 22 here https://wuxiaworld.site/novel/untouchable-lady/ and the rest of the chapters are posted here https://forum.novelupdates.com/threads/untouchable-lady-%EC%A0%91%EA%B7%BC-%EB%B6%88%EA%B0%80-%EB%A0%88%EC%9D%B4%EB%94%94.115038/page-3 just see through all the pages. I've read till 50 but I guess the rest are there as well.
If she had that power in her first life, couldn't that have prevented her death from falling off the stairs? In her other lives as well; if she had that power, why didn't she use it to stop the abuse or to protect herself? Did she even try to change what's gonna happen in her other lives? Also, she was reborn 8 times, but she only felt tired and emotionless in her 8th life? If that would be me, I'd be tired already with just reliving my life for the second time. If she repeatedly experienced these abuses from her family, why was she still shocked by her brother's betrayal in the first chapter? why would she still expect affection from that guy? Idk I feel like the story should give more information about her past lives. We're still early on to the story so I hope it'll get better.