I was reading this question and was reminded of another story with a virtual or augmented reality nursery.
It might be a short story in a collection or it might be just a sub-plot of a novel. It's been probably 20-30 years since I've read the story (likely paperback), so the only thing I really remember is that the nursemaid freezes at one point. The child walks around the room to realize that the image wasn't actually 3D, but a perspective image made specifically for their line of sight. As such, the nursemaid is smeared across the floor and walls and only looks normal from the original spot where the child was standing. I believe it was a single child, because the perspective wouldn't allow for more than one child to view it at a time.
I want to say the nursemaid was a clown, but it could have been a lady teacher, I don't remember. The nursery may have been in a cryogenic sleep spaceship travelling between stars, and the nursery error froze because of a problem with the spaceship. I also want to say that the child was there for between a couple minutes to a couple hours before their parents (maybe just the mother) showed up to get them out. I seem to think the nursemaid froze mid-word and it was telling the child there was a problem.
I believe the child was 8-12, possibly a boy, being young enough to need a baby-sitter, old enough to not want to be there, old enough to understand what happened with the nursemaid, mature enough to wait fairly patiently for rescue, and young enough that they weren't allowed to exit the room by themselves.
I seem to think that the child was put in the room while the parent(s) were working on the ship.
It's been so long since I've read the story that I don't have any more information than this. I've read so many sci-fi books that I could be conflating multiple books into one. I just don't know. Sorry if this isn't much to go by. I've added as much info as I can come up with and will continue to add more if I remember more.