Looks like that is the lowest currently published fare on the route:
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Flexible Fare Search -- JFK-SXM oneway for date range Mar-Sep on carrier B6 -- JetBlue Airways
Carrier|From |To |FareBasis |Fare |Min |Max |Adv. Purch|Earliest |Latest |
B6 |JFK |SXM |RH14AE2U |USD$ 187 | | |14days | | |
B6 |JFK |SXM |VH14AE4U |USD$ 237 | | |14days | | |
B6 |JFK |SXM |VH07AE4U |USD$ 251 | | |7days | | |
B6 |JFK |SXM |LH00PE4C |USD$ 277 | | |seerules | | |
B6 |JFK |SXM |VH07AE4U |USD$ 291 | | |7days | | |
B6 |JFK |SXM |BH00PE4C |USD$ 301 | | |seerules | | |
B6 |JFK |SXM |LH07AE4U |USD$ 322 | | |7days | | |
B6 |JFK |SXM |QH00PE4C |USD$ 351 | | |seerules | | |
B6 |JFK |SXM |QH03AE4U |USD$ 361 | | |3days | | |
B6 |JFK |SXM |QH00AE4U |USD$ 420 | | |seerules | | |
B6 |JFK |SXM |KH00PE4C |USD$ 479 | | |seerules | | |
B6 |JFK |SXM |KH00AE4U |USD$ 490 | | |seerules | | |
B6 |JFK |SXM |EH00PE4C |USD$ 579 | | |seerules | | |
B6 |JFK |SXM |EH00AE4U |USD$ 588 | | |seerules | | |
B6 |JFK |SXM |YHNRS |USD$ 688 | |330days |seerules | | |
B6 |JFK |SXM |EH00AE4U |USD$ 837 | | |seerules | | |
B6 |JFK |SXM |YHNRS |USD$ 935 | |330days |seerules | | |
B6 |JFK |SXM |Y |USD$ 1378 | |330days |seerules | | |
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That doesn't mean that they cannot lower fares but it isn't like they are only selling the mid-price fares right now or something like that.