ADDITIONAL SYSTEM INFORMATION :
C:\Users\hwaite>ver

Microsoft Windows [Version 6.1.7601]

C:\Users\hwaite>java -version
java version "1.8.0_192"
Java(TM) SE Runtime Environment (build 1.8.0_192-b12)
Java HotSpot(TM) 64-Bit Server VM (build 25.192-b12, mixed mode)

A DESCRIPTION OF THE PROBLEM :
TabPane.getTabs().setAll(permutatedTabs) fails to reorder tabs. Thus, it's not possible to permutate TabPane.getTabs() in a single call. ListChangeListener should do more than just reset Tab's TabPane reference. This should probably mimic TableView/TableColumn behavior.

STEPS TO FOLLOW TO REPRODUCE THE PROBLEM :
Run application and press 'Swap' button.

EXPECTED VERSUS ACTUAL BEHAVIOR :
EXPECTED -
Tabs switch places.
ACTUAL -
Nothing happens.

---------- BEGIN SOURCE ----------
public class Test extends Application {
  public static void main(String[] pArgs) {launch(pArgs);}

  @Override public void start(Stage pStage) throws IOException {
    final Tab tabA = new Tab("Alpha", new Label("Alpha"));
    final Tab tabB = new Tab("Bravo", new Label("Bravo"));
    final TabPane tabPane = new TabPane(tabA, tabB);

    final Button btn = new Button("Swap");
    btn.setOnAction(
      pEvt -> {
        tabPane.getTabs().setAll(
          tabPane.getTabs().get(1), tabPane.getTabs().get(0)
        );
      }
    );

    pStage.setScene(new Scene(new VBox(tabPane, btn), 850, 400));
    pStage.show();
  }
}
---------- END SOURCE ----------

CUSTOMER SUBMITTED WORKAROUND :
Remove and re-add tabs in separate calls.

FREQUENCY : always