Yeah I feel like... people wouldn't feel particularly attached to kids in a universe where nothing bad can happen to them and everything had already been done so the act of having a kid would lose all novelty after you'd done it a few times.
And yeah, I think even though people can do anything here, like it's not necessarily just a void...people would maybe get bored. It's a bit like playing Minecraft in Creative Mode. It can be fun for some people who enjoy showing somebody a cool thing they made, or doing these huge projects like "recreate Kings Landing from Game of Thrones" and showing everyone on Kotaku or whatever... but most people play on Adventure Mode for a reason... because without the challenge of finding a good place to build, and the resources you want and surviving monsters and hazards, the game can feel a bit dull, and would definitely get dull in this hypothetical endless universe because eventually everyone would have seen everything. That's the problem with infinity; if you have truly infinite time and resources, even the lowest of probabilities might have occurred and been observed
That said, it could be people would turn everything into a game. So they'd invent virtual worlds where you fight monsters or go on adventures and play those, or maybe they'd have a lot of athletic competitions and music and art competitions, basically in an attempt to bring back the sort of challenge and structure their lives lack.