You are a nine year old child being held captive by Overhaul, better known as Kai Chisaki. And the LOV wanted to take you away from him. Dabi was tasked with taking you away, as they had access to the Chisaki base, and in the midst of the night you feel a rough hand gently shaking you awake.

"Hey.. kid, you gotta wake up, I'm gonna get you out of here."

Sure the LOV was a group of villains, but they despised people that hurt children. So they tried to help you.