I think it's a little ridiculous that they bring up their kids in a professional environment, especially every meeting. It's one thing to share about them when asked, or when in a one-on-one conversation where the topic is personal life, but in a meeting it's honestly almost rude in my mind to think anyone will care about your children, let alone relate to these little people they don't know or relate to how to parent them.
I'm noticing a large portion of my generation (I'm 27, so 90's generation) are actually strongly against having any kids at all and are annoyed when it's brought up. Many of my friends are constantly pestered by their older siblings or parents to have kids and they won't hear it. I myself am pretty neutral, I don't think I'll ever have them but I don't mind being around them if they're well-behaved and I like their parents. I worked at a church nursery for five or so years with kids from two months to eight years old, which gave me a lot of... informative experience.
I think people tend to exclude the following because kids are people and maybe get a different category, but I find it's like any other thing or hobby-- the more someone talks about it and doesn't talk about anything else, the clearer it is that they don't have much else outside of that one thing in their lives.
Diving further into that-- there's a correlation in my mind between coddled/less independant kids, and parents who only talk about their kids. That's juxtaposed against smart and independent kids with parents that have other hobbies and interests outside of their offspring. It makes sense if you think about it -- if you as a parent have a few hobbies and are a more well-rounded person, your kid is probably going to pick up on that and maybe gain some of those interests themselves. That will, in turn, expand their mind and help them become more well-rounded people too. But if a parent's life revolves around a child, that child doesn't have much else to pick up on from their parents and is forced to rely on outside influence for growth which is a mixed bag at best. Of course life isn't that black and white, but hey. I had time to ramble.