Yes but one of the most common desires is that you want your children to have a better childhood and life than yourself. Some people don't care or don't explicitly make the choice to get children, they just get them. But some people won't get children if they can't provide an environment that is at least as good as the one their parents provided to them.
People need to learn that material possessions are way less important than emotional environment. For most of us, being better parents is about how we parent. Not what we can afford.
That's what I am referring to as well. Plenty of people at income X intentionally have children while plenty of people at 5X lament not being able to afford them. I think this is true for every X.
I suspect income has a negative correlation with the number of children in general, if anything.