I'm probably a bit older than you, my peer group is either having kids or they are never going to have kids. We are on that precipice.
The people who really don't want kids, the ones sterilizing themselves, are all depressed. They have miserable lives. They aren't traveling and having great vacations, they aren't becoming CEOs, they aren't living in the lap of luxury. They're mostly alone.
Oddly, the people who have kids travel a lot more despite it being much harder with a kid. We have a lot of family demanding we visit and who wants to visit. We have a lot of things to show the kids.
The folks with kids are generally the ones with more illustrious careers, the ones higher up the food chain. Some of that may be that it's easier to have kids when you have more money.
Wealth is not just money. It is the whole of your circumstance. Your home and whether you want to be in it, whether you like your life partner, and how your family unit gets along. You need enough money for things of course.
Your theory sounds great on paper, but I don't think it holds up.