I agree,even in the midst of profound conscious and unconscious mental, emotional, physical and sexual abuse, there can still be love. This is not to let my perps off the hook, however, there was some love there. Between years 3-5 of my recovery I journaled several hundred pages about my relationships with my mother and father. Through that process I was able to see that they were both abused growing up, that they didn't know how to show up for their aching child hearts, and therefore it was impossible for them to show up for me emotionally. In effect I came to a place where I was able to give them back their humanity, let them be both wonderful and ugly at the same time. The process revealed that they did care and love to the degree that they could--it wasn't enough at the time, but it was enough I'm able to see now, that I was able to reclaim my life and actualize my dreams. There was good and bad, but there was enough good, that I've been able to learn how to show up for my pain and grief and terror in recovery, and how to give unconditional support to my inner child.
Just for today I will treat myself with respect, compassion and acceptance.