Indeed, but many teams like Curaçao are picking players from Europe. Hence in theory Statia team could be competetive but still their matches would be on par with Alderney or Sark selections..
I don't think there are many Statia players playing professionally outside of Statia. I agree that their level of play would not be very good. But I don't think it would be any worse than, say, Montserrat.
Alderney (in particular) and Sark are similar to any European national selection in that the players must qualify through residency or birth (technically, they are both dependencies of Guernsey, with separate legislation, but not part of it). Again, their level of play is not very good, but they are just as much 'national' teams as the Faroe Islands or Wales.