Any Haitian that enters on a valid tourist visa is able to pay the overstay fee when they leave. The fact is, they didn't enter on a tourist visa, they entered illegally, and they have no intention of ever leaving.
In fact, if they didn't enter on a tourist visa and they decide to leave, the DR will be more than happy to waive the overstay fee and let them leave for free.
In fact, if they didn't enter on a tourist visa and they decide to leave, the DR will be more than happy to waive the overstay fee and let them leave for free.