I just can't agree. He was estranged from Dick for a while post-COIE, and then took in Jason (to fill the empty role of Robin) because he missed Dick. He unilaterally orders Dick to abandon whatever is going on in his own life to take back Blackgate in NML and then basically hangs up on Dick when Dick objects. He's very dictatorial with the others at times. He spies on Barbara in early BoP. He hangs up on her when she asks about how he got healed after broken back. He did a freaking creepy test on Tim for Tim's sixteenth birthday. When Gordon got shot, he reacted so badly (and with so little regard for Barbara's emotional needs) that Alfred called him on that crap. Then, after Alfred had left and was valeting for Tim - when Bruce didn't know where Tim was, he outed Tim's secret identity to Steph, just because he was too damn chicken to talk to Alfred and get an answer from him. Oh, and then there's how he treated Steph and Tim after Tim quit being Robin. And his desire to keep Cass from having a social life/interacting with other teen heroes there for a while. The early 2000s really were terrible.
He used to be friends with and respect other JL members - since COIE (or probably a little earlier), he's frequently (though not consistently) regarded them with distrust and/or disdain. His trust levels in all those around him - Batfamily or other - have plummeted. Though I suppose with how often heroes go evil these days...
And the entire King relationship depiction with Selina was very unhealthy. Her as the only light, the only happiness in his life, etc. I like BatCat - or at least the idea of it - and I hated it. And that was hardly the only emotionally unhealthy aspect to the character that King depicted.