Yes, in nearly all cases.
And why would the less productive being limited to no less and no more than one child per adult resolve this?
(1.) Currently the “less-productive” people have still too many children and therefore they can’t become as rich as the more-productive people; (2.) the reasonably fair distribution of children (2.1) also increases the wealth, (2.2.) leads to (2.2.1.) more peace, (2.2.2.) more intelligence, (2.2.3.), more competence, (2.2.4.), more responsibilities, thus (2.2.4.1.) less pollution of the environment - that all because the more-productive people can also have children and the less-productive people can not have more children than the more-productive people. And that all is fair.
Besides all that, I would think having no children is the best way to accumulate wealth. Only have to distribute it amongst two people in a couple (assuming one works and one doesn’t) or only one’s self (if they both work or one is single).
Yes and no (more no) because having no children would merely be the best way to accumulate wealth then (and only then), if there were not two risks: (A) the risk of losing competence and skills because there were not enough children who could learn those competence and skills; (B) becoming unfertile (that would be the end anyway).
So having no children can only be the best way to accumulate wealth for a short time, for a long time having no children is fatal, killing.
I friendly advise you to read a good book on demography, preferably both demography and economics.
But if you’re talking about the need for children in order to keep civilization going into future generations, I agree, but that necessarily entails a limit on wealth as income must be distributed at least amongst the children.
You mean that the children must profit from this development, right? If yes, then: of course, that is one of the main reasons why we must change the current expropriation of all by all, of everyone by everyone, of anyone by anyone, and especially of the future generations by the current generations.
Debts and a polluted planet mean an extreme egoism, an egomania.
We live at the cost of our children, our grandchildren, …, in short: our offspring.