Youre arguing something that doesnt exist. We dont know what happened to the rogues after robin died, or how he would act. We dont see any of his villains
It isnt like batman is out plotting to murder either.
Superman says youre letting them kill martha, and batman yells why are you saying that name. He couldve viewed it as supes trying to fukk with him, but lois was there to save him. Batman still had his foot on the neck, and the spear in kill position. If lois doesnt show up batman probably kills him. Go watch it again. And batman is still batman, he wouldntt let a random person die if he can help