I think your conjecture is entirely accurate. Furthermore, in large swaths of Haitian, oh, society, the concept of family, as we have traditionally understood it, does not exist.
To add my own guesswork, if one of my two children had disappeared as infants or toddlers, the alarm would have circled the globe because I would never have stopped screaming about it. Yet, with the Haitian children spirited away by Hillary's people, we only heard about them from a whispering campaign. Is it possible these children were voluntarily sold or traded by their mothers? Talk about having children for financial security! That's giving birth to your own meal ticket.
At any rate, the best form of contraception is a family that will be saddled with your mistakes; take money, food aid and every other reward out of bastardy and it will diminish to a manageable level.
Eliminate all forms of welfare away, and instead provide women with jobs (where she doesn't get paid if she has to take time off to care for kids), and the attraction of kids will be greatly diminished.
Women working, plus social security and retirement plans, have done much to reduce the US middle-class birth rate below replacement level. We need to fix that, if the US is to survive in a viable condition.
If your primary motivation for having kids is for your own future security, then selling a child (for enough money to finance having another) becomes an attractive option.
I would not be surprised to find it happening in our own "inner cities" as well.