I'm confident there was a baby at Next when we were there last summer for Vegan. I knew, because I saw the carrier. That was the only reason I knew. Still, I remembered thinking they were quite daring. It was a non-issue. I assume they would behave like Ronnie & Rich. I expect babies to cry and I expect little kids to be disinterested in sitting still. Those behaviors, as are those of obnoxious adults, should not be tolerated by the other guests in certain venues. I think Next, Aliniea, a play at the Goodman, or a movie at Showplace Icon, all count as "certain venues."
I can also recall one of my last visits to Great Lake with a friend and her 3 year old. It just wasn't appropriate. Lydia had to say something to me at least twice because while I was talking to my friend her 3 year old was wandering around the restaurant. It wasn't my kid and I wasn't paying attention. I didn't even realize she wasn't sitting down with us until Lydia pointed it out. That's saying something given how small the space is at Great Lake. If I were a diner, I would not want a kid wandering around me like that and I understood. It was not appropriate to expect a 3 year old to sit still. It just wasn't the right venue for that. I've also been to Great Lake on several other occasions where there were non-crying babies and older kids willing to sit still. In all of those instances, it was a non-issue for me as a diner that those kids were there.
FWIW, I don't recall seeing any signage at Great Lake or Next about no kids permitted or any mention of children. Perhaps, by remaining silent on the matter, they did not wish to deal with what Taste of Heaven did almost a decade ago as Cathy2 mentioned upthread.
Peace,