A DESCRIPTION OF THE PROBLEM :
On Mac OS X with the ScreenMenuBar, navigate menu item by keyboard only: pressing <control> <F2> and arrow keys, then press <enter> key. The action associated with the menu item is not performed.

If the JMenuItem is a JCheckBoxMenuItem, then it would work on JDK 11.0.12 but not on JDK 16.0.2 (currently latest).

STEPS TO FOLLOW TO REPRODUCE THE PROBLEM :
1. Compile and run the sample code.
2. Press <control> <F2> to select the screen menu bar (make sure the check box in System Preferences > Keyboard > Shortcuts > "Move focus to the menu bar" is selected).
3. Press <right> arrow key twice to select the "File" menu
4. Press <down> arrow key twice to select the "Menu Item"
5. Press <enter> key; nothing shows on the console
6. Repeat steps 2-3 above
7. Press <down> arrow key three times to select the "Check Box" menu item
8. Press <enter> key; the word "hello, check box" is shown on the console -- however, this is not working when running with JDK 16

EXPECTED VERSUS ACTUAL BEHAVIOR :
EXPECTED -
Step 5: The console should show "hello, menu item"
Step 8: The console should show "hello, check box"
ACTUAL -
Step 4: The console does not show "hello, menu item"
Step 8: The console shows "hello, check box" on JDK 11 but not JDK 16

---------- BEGIN SOURCE ----------
import java.awt.Desktop;
import java.awt.event.ActionEvent;

import javax.swing.AbstractAction;
import javax.swing.JCheckBoxMenuItem;
import javax.swing.JFrame;
import javax.swing.JMenu;
import javax.swing.JMenuBar;
import javax.swing.JMenuItem;
import javax.swing.SwingUtilities;

public class MenuFrame extends JFrame {
    public MenuFrame() {
        JMenuBar menuBar = new JMenuBar();
        JMenu menu = new JMenu("File");
        
        JMenuItem menuItem = menu.add(new AbstractAction("Menu Item") {
            @Override
            public void actionPerformed(ActionEvent e) {
                System.out.println("hello, menu item");
            }
        });
        
        JMenuItem checkBoxItem = menu.add(new JCheckBoxMenuItem(new AbstractAction("Check Box") {
            @Override
            public void actionPerformed(ActionEvent e) {
                System.out.println("hello, check box");
            }
        }));
        
        
        menuBar.add(menu);
        setJMenuBar(menuBar);
        
        Desktop.getDesktop().setDefaultMenuBar(menuBar);
    }
    
    public static void main(String...args) {
        SwingUtilities.invokeLater(() -> {
            MenuFrame editor = new MenuFrame();
            editor.setSize(400, 300);
            editor.setVisible(true);
        });
    }
}
---------- END SOURCE ----------

CUSTOMER SUBMITTED WORKAROUND :
Have tried various approaches such as using ActionListener, ActionMap/InputMap, ChangeListener, ItemListener, KeyListener, MenuKeyListener, PropertyChangeListener, etc. via the JMenuItem/JMenu/JPopupMenu classes, but no luck.

FREQUENCY : always