This is how I think the different Batfamily supporting cast would react to Batlantern, or just Hal, in general, when Bruce introduces him as his boyfriend
Based on those posts by I forgot who hshshshs I'm writing this on the road
this man does not like Hal
looked at his credit score and everything, and was simply not impressed
was only mildly placated by the fact that Hal knows how to cook and clean and take care of kids and is decidedly well-intentioned
but still is severely unimpressed; thinks Bruce can do better
Hal, unfortunately, also dislikes Alfred... gets iffy with the way he treats Bruce sometimes, but respects him ultimately... barely...
Hal has been daring Alfred to do something about it, but unfortunately everyone in the family and the League do not want Alfred to ruin this for either of them
Hal: "Your son calls me daddy too-" [dodges a stone frying pan]
Leslie: "...yeah no, you're definitely Thomas' son /neg"
Bruce introduces Leslie to his coconut-scented flyboy with fluffy brown hair and eyes like a baby cow, who says dumb idealist shit in a charming Hollywood voice, smiles all the damn time even while pissed off and picks fights with things/people that shouldn't be fought
and she just sighs and opens the damn vodka bottle
"Yeah no, I went through this already with your dad. I'm not doing this again.... sober"
"Just to be safe because your man is an alien-tech freak, do not wake me up at 2AM over a pregnancy scare. My natal-related working hours are between 8 to 8 for you Waynes"
"Before I drew this boundary, I ended up learning about you being a bun in the oven"
she warms up to Hal enough but seeing Bruce rolling over and making moon eyes at Hal makes her sick with nostalgia
Lucius: "So this is the mf who's been flying my ships"
Lucius has his ear on the ground about all JL and Batclan operations, so he knows about the resident pilot who commands all the aircrafts he designs for the JL and runs an isolated aircraft island on the JL's behalf
when I tell you that man is IN LOVE with meeting another engineer
Tim, Bruce, and Barbara are getting kicked out of the workshop, he's replacing them with someone who has a degree in aeronautics engineering specifically
Lucius is handing Hal keys to all the WE RND specs on future aircraft projects and swears up and down that he's having Ferris test it with Hal specifically on the docket
Hal becomes a frequent in WE, the rnd interns love him
Kate: "Ain't no fucking way"
girl is doubled over wheezing and laughing when she learns about it
was told on facetime with Bruce, Renee is holding the phone while Kate is on the ground crying-laughing about it
"THIS IS THE THIRD TIME YOU FELL FOR THE SAME PERSON IN A DIFFERENT FONT"
"THIS IS THE THIRD PSYCHOPATHIC BRUNET, BRUCE. TALIA, KHOA.... FUCK THERE WAS HARVEY TOO HAHAHAHAAHAH"
"Did Aunt Leslie say you- Yeah? She made fun of you? HAHAHAHAHAAHAHAHAH"
Anyways cut to the meeting of the families, Kate is actually cornering Hal in a corner and speaking in military lingo about how she's a Bat that can and will fuck him up
Hal is enjoying it and returning the energy. She is impressed. She's like a nicer Alfred in his eyes, who is down to curse and gag like a sailor
Hal and Kate end up like bros actually
Gordon: "Please don't do this to me"
saw the Green Lantern and Batman kissing at some random rooftop and was horrified, initially
not for homophobic reasons but because "Please Do Not tell me that we are consorting with alien police now. I can't even deal with the paperwork of workinging with human police"
is very protective of Batman, raised this little runt from wanna-be vigilante to living legend
"I can't threaten him as Green Lantern but I can threaten him plenty as a man"
Hal respects him; doesn't interact with him much, but genuinely does respect him