Jetblue is selling tickets after April 3rd. WW
Not sure about Americans, but I don't know any Dominicans-Americans whose trying to DR anytime soon.
There are lots of Dominicans in NYC trying to get home to the island. The question is will they be able to, not if they want to.
To give you an example, there are currently 4 daily direct flights from JFK to STI scheduled from April 4th onwards. On April 4th and 5th, most are already sold out. I have been tracking them.
Jet Blue has cargo demand and passenger demand for that route. SDQ has similar demands. The only question is will the flights be allowed.
Do not confuse a JFK - Florida , or a JFK to POP route with a JFK - STI or SDQ route . Two very different dynamics at play.