Well, he was going over what seemed to be an audio recording of Batwoman's outing from the previous night, or at least her interaction with Batman. I guess I just find it hard to wrap my head around the idea of a woman (or man) in her 20s/30s who would be completely cool with their dad effectively eavesdropping on all their conversations, even if it is in the name of Justice.
What I think would be interesting would be if her mother was also involved - you don't often see that sort of family dynamic in comics.
That would be interesting. Especially given the dearth of mothers in the Batverse.