It's a profoundly dis-empowering and anti-democratic message, which is of course why a lot of those rich people are happy for you to believe it.
The reality is this: in every instance we know of, making education and birth control available to women (not forcing, just giving them the option) has resulted in declining birth rates and increasing standards of living.
It's really quite inconvenient to be pregnant, to parent a newborn, and to be responsible for a child for 2+ decades. It's very rewarding, but it's also really hard. You don't need a global conspiracy to explain why many women limit or opt against it if given the chance.