I’ve only caught WFA when it’s been screen capped elsewhere, so I’ve only seen the same kind of thing I am talking about, Babs interacting and all of them interacting like they are siblings, with Bruce as their parent and Alfred as their grandparent.
I’m not talking about the Commissioner not knowing about them but that there’s no reason for Barbara to spend the night and SLEEP at Wayne Manor, be depicted having a domestic breakfast as if she didn’t have a normal job to go to and celebrating holidays with them as if she didn’t have her own father to celebrate with. Yes, the Commissioner might work Christmas Eve or even Christmas Day. That doesn’t mean a 24 hour work day for those or other holidays or that he wouldn’t take a lunch break or dinner break and want to spend it with his own family, or vice versa.
I don’t want to get into a lengthy back and forth. I’m talking about the fact that prior to things like Batman and Robin and Lil Gotham, the ‘batfam’ wasn’t a trope, or a tag you would see on twitter or other social sites, or fan art sites, much less the extended bat family of members as they were sometimes depicted in the post Rebirth 'Tec series in actual canon. And fans, casual fans who do not read the comics, and only see the isolated images, fan art, and head canon blurbs that people post on their social media, especially when tumblr was really huge, that had an impact - Barbara is a good example, because she has a living father with whom she had a good relationship, so it’s not like she either an orphan or estranged.
But even the fan art and fan fic depictions of Cullen, Harper, Tim, Damian, Bruce, Dick, Babs, Cass, Stephanie, etc. etc. and particularly Jason all coming over to have cookies with Alfred, and sleep overs, and all-night Disney movie watch parties, etc. that isn’t realistic to what the comics show or even the light hearted animated adaptions show.
Teen Titans Go, for example, doesn’t have Dick with any collection of the rest of these people - certainly not as vast as something like Lil Gotham showed - coming by and hanging out with him, or him coming back to Titan Tower after one of those all night Disney Movie Watch Parties, or 20+ people holiday dinners.