For some time I had been leaning towards the idea that her parents threw her away like garbage because she was a Palpatine because it would reinforce her belief that “being a Palpatine = she is inherently worthless” which is debunked by Luke when he reminds her of Leia training her.
Also, I feel part of your idea would imply Rey’s mother loved her, which I feel does undermine her TLJ arc but not as much as the idea of both parents caring for her in the actual TRoS.