One of the old classics in comics that keeps coming back. Some might even say it's overused in events like Civil War. There's usually a disagreement, misunderstand or the villains force them to battle. Whether it's a good trope depends greatly on the writers execution. Most tend to turn these into a popularity contest (at least on forums) when other factors should be at play.
It varies whether I like these fights. They can be fun or a waste of time. If I'm honest I do kind of cringe when I hear about an impeding fight because my first thought is whether it will be written out of character. Whether or not a fight's even necessary for the story. In some cases you know what to expect which makes it pretty boring.
I think the only fights I ever looked forward to were Tim vs. Damian. Who I rooted for changed based on how it was written and their interaction is engaging. Now I don't think Damian should ever win against any of his adopted brothers but I could feel for him. I like that Tim actually calls Damian out on the crap he does. I can't say I'm excited by the prospect of anyone else fighting unless Bruce and a particular someone are humbled. I don't like the idea of some of the family going at it and some fights would be too predictable or biased for certain writers.