I personally ironically call my friends weird nicknames so now all I'm imaging is one of the batboys picking reader up from school and catching her calling a friend "pookie" or something stupid on the way out😭
Dick would NEED you to give him a nickname too.
"PLEASEEEEEE JUST GIVE ME A NICKNAMEEEE", Dick whined.
"How's pushover? What about nuisance? What do you think of idiot?", you roll your eyes.
"How about big bro? :)"
"...no."
":("
Jason wouldn't admit it, but he would absolutely want a nickname too. If that's what it takes to be a part of the cool kids and youngsters nowadays, then he wants one. He would try to be slick and earn a nickname, but it would be really weird.
"Oh, thanks for the Spanish dictionary, Jason", you muttered, "now I can decipher Damian's stupid puzzle..."
"No problem. Look at me, providing you with Spanish vocabulary. You could almost call me your amigo (=friend)."
"..."
"No?", he smiles awkwardly.
"How about secuestrador (=kidnapper)?" you roll your eyes.
Tim would, similarly to Dick but not as desperately as Dick, literally just ask you for a nickname.
"...OH! Or, you could call me Sherlock, since, you know, I'm a bit of a detective. Additionally, you can call me Tim, though I think it's too basic. I prefer Timmy or Timster from you :)"
"It's 2am, Tim. Go to bed."
"...So, Tim it is? :("
Damian, the only rational one, would just wait until you give him a nickname. He would just remain silent about it, not daring to say ANYTHING lest you think he's as desperate as the rest (he is).
Whatever nickname you give him, assuming it's not an insult, he will cherish it.
Dami? Damster? D-Dog? Damiendo? David? Yes. Yes, he accepts. Though he isn't particularly fond of David, as you soon found out...
Duke doesn't really care, he's not too hung up on this stuff like the rest.
Oh and the girls? Yeah, they're literally fine with Steph and Cass lol
As a person who has, in fact, played D&D with my siblings before, and more specifically DMed for my siblings, the chaos I envision unfolding in a Batfam session is a source of pure delight.
Damian furious because he rolled too low to hit WITH A SWORD!! "I would not have missed, I have trained since birth!"
Dick arguing he ought to be able to make an Acrobatics check for everything; any time he is denied, he offers to demonstrate that it is physically possible and then demonstrates no matter what anyone else says.
Duke is playing a wild magic sorcerer and is DELIGHTED by the wild magic table.
Jason took the character trait about constantly quoting or misquoting your sacred text. Everyone quiets down to hear him every time he says one bc invariably it is always something Alfred has said.
Bruce SO EARNESTLY trying to play a lawful good Paladin even though everyone told him NOT TO DO IT.
Oblivious Bruce and Duke: *behave like a father and son* - They absolutely do not understand this.
Dick, who understands that he just got a new brother, — B, there anything in this world that can stop you from adopt!?
Bruce and Duke - excuse me?
But also how tragic was it that he was able to hold himself back from caring about hundreds if not thousands of recruits, but the second one Gotham recruit was bold enough to speak up, it was all over?
I think the Batfamily has issues with overworking and burnout not because they're 'so committed to solving crime' but because they just have no outside reference???
Bruce has had very little outside influence besides Alfred (who is technically always at work) and people like Lucuis (who is a Ceo, have you seen the hours?). This man has Autism and will hyperfixate. His early training also definitely destroyed any balance Alfred or his parents tried to instill. I do think the absolute crushing responsibility of trying to keep people safe and the knowledge that you are often the only one standing between someone and death doesn't help.
Dick grew up the circus, that's hard work and long hours, with almost no sick days. Flu? You gotta perform. Show must go on. Always. He and Bruce definitely work ridiculous hours in the holy early batman days without realizing how insane it is. Technically as the first Robin finding balance between school, vigilante life and the constant new rougues popping up is impossible anyway.
Jason comes from Crime Alley, I don't want to go into the ridiculous hours people earning minimum wage work to make rent. I also think with his background there would be an important emphasis placed on work to be 'useful'. Bruce at this point thinks his schedule is normal and so Jason adapts.
Both of Tim's parents are workaholics (this is confirmed in Canon.) He also crippling pressure to perform which from experience just leads to burnout. These only get worse when he suddenly has to carry the Robin mantel. I also think it might be a control thing? But let's not get into that.
Damian was raised by a Thalia (explanation enough.) I highly doubt the League focuses on a normal work-life balance but I do think he has set 'rest times' he would get, however there more like take time to eat or sleep and not actual time to rest.
I truly think Duke would be the only one able to stop and be like 'woahh, I need to reset so I can be more productive'.
I also think Cass would be able to join him because despite her upbringing, she doesn't really differentiate between 'work' and relaxing. Everything was just for survival. So, technically, ballet is also work, and so is going out to eat since it gives her strength and so is having a lazy day because she needs to be in good shape, etc
"Duke and Cass are Bruce's normal angel children." Duke and Cass are two of the three batkids most likely to punch a cop in the face and tell Bruce they'd do it again when he comes to bail them out.