So, all the people that has killed in their caped career and are allied with Bruce, have betrayed Bruce, right?
I disagree with that criteria. It's not about not following Bruce morals and lines. Betrayal would be more than that. It would be putting Bruce in danger and breaking his trust with intent. It's a deeper thing, and it has a detached nature to it too.
What did Bruce during Identity Crisis, for example, felt like betrayal against his league allies.
Well, at least, for me.