After the locals reaction the last time that they closed the French/Dutch border, chances that that will happen are slim.
Keeping the connection between St Martin and St Barth open is typically a priority, but who knows. St Barth had a big increases in cases last week.
The inter-island connection which is typically tightened is between St Martin and Guadeloupe, Martinique, and the South American department of French Guiana. There are typically exceptions for a limited set of “motifs impérieux” (compelling reasons).
The same “motifs impérieux” could also be reinstated between Europe and St Martin.
As you said, stay tuned.