Dominicans only at Las Américas and Cibao. At Punta Cana in addition to Dominicans it also process Americans and Canadians.
The Punta Cana AutoGate is slightly different from the ones in Las Américas and Cibao, in part because it’s owned by the Puntacana company while the others by the Dominican government. The passport info goes straight to the Migración institution regardless which one is used. For example, the Punta Cana AutoGate doesn’t includes taking fingerprints because the camera has facial recognition capability, the metal doors are see through glass, and it only exist for leaving the DR to the US or Canada, not entry into the DR. They charge a higher fee for the service and it doesn’t last for the life of the passport. For Dominicans the registration has a lower fee (it seems the fee was dropped for Dominicans, so register could be free and is required the first time only), its a one time fee and it lasts the life of the passport (if the passport is already registered, there is no fee) and can be used in any of the three airports. Once the passport expires (I think every six or ten years), the new passport has to be registered prior to using AutoGate, otherwise it will not function.
There was a rumor that it would be expanded to other airports such as Puerto Plata, but have no idea if that went through or is delayed or cancelled or if its the AutoGate from the government which is for Dominicans only (most likely this one) or like Punta Cana which includes some other nationalities. The Punta Cana AutoGate was suppose to expand to other nationalities such as Spain, France, and a few others; but don't know the current status.