Does The Batfamily Use Damian's Activities To Reject Invitations They Don't Want To Go To?

Does the Batfamily use Damian's activities to reject invitations they don't want to go to?

Example: "I really would love to go on your planet/dimension but I promised Damian I would help him bath the batcow this weekend"

Or "the little one has a school project and I'll help him, I gonna be busy that night"

And something?

Bruce, on the phone: Sorry, I'm afraid I can't make it to your gala. Damian suddenly came down with a fever. You know how it is with the bug going around.

Damian: Father, I feel fine—

Bruce, covering the phone: Shush, I'm doing us a favor.

———————

Barbara: Hey, Damian got a concussion on patrol and I'm babysitting. Raincheck?

Damian: But Gordon—

Barbara: *shoos him away*

———————

Kate: I'll be late, I'm taking Damian to a root canal.

Damian: My teeth are perfectly healthy—

Kate: *muffles him with her jacket*

———————

Dick: I have to cancel. My little brother needs me right now. He's going through some tough times and I'm the closest he has to a friend.

Damian: *video calling Jon, Colin, Maya, Maps, Kathy, Billy, and Suren with the pets on camera*

———————

Steph: Heya boss, my brother just broke his leg and I need to take him to the ER. I need someone to cover my shift.

Damian: *roundhouse kicks a training dummy*

Steph: Damian, keep it down!

———————

Jason: Why I'm not gonna train the new henches? Because my brother has fucking chicken pox! Yes, you heard me right, assface. I don't care who you get as long as the orientation is done.

Damian: *has a band-aid from his booster shot*

———————

Cass: Can't dance. Baby brother needs food. Parents not home. He hasn't eaten in a week.

Damian: *devouring his second vegan sandwich*

———————

Selina: Sorry girls, my stepson's cat just died. Maybe next time.

Damian: *playing with Alfred the cat*

———————

Duke: Damian, I need you to cover for me. I'm supposed to make up a quiz but it's the Riddler again.

Damian: What story are you going with?

Duke: How about... you're stuck in the rain and I need to pick you up?

Damian: It's sunny.

Duke: Please just go with it. I'll take you to the arcade after.

Damian: *pours water on himself*

Damian, completely monotone: Oh no, I've been abandoned by my parental figures.

———————

Tim, to his secretary: Tell the board I'm canceling all my meetings this week. No one's seen my brother since yesterday and the police are now involved.

Damian: *standing next to him*

———————

Damian: *playing video games in the living room*

Alfred: Master Damian, why aren't you at school?

Damian: According to everyone else, I am experiencing a fever, concussion, tooth damage, emotional instability, broken leg, chicken pox, chronic starvation, the loss of a pet, getting stuck in a downpour, and going missing. I don't think I'm able to attend classes in such a state.