I feel like you can see certain things in the Injustice comics for how Tom Taylor sees Batman. He loves the Bruce/Alfred relationship (he wrote the last Batman annual from Alfred's point of view). Alfred had SO much to do in those comics. He loves the Bruce/Dick relationship. He writes Bruce and Selina really well (he prefers them as a team, making them together through the entire 5 years of those comics), and they're actually funny together at times. No angst. I feel like that makes him a logical person to pick up from the King run in that respect (assuming he marries Bruce and Selina in the end, which I feel like he's going to). I don't think he likes Damian much.
I just think he's really good with the characters, and I wish he could be the one to do it. I'd like to see how he does a Batman run.