Does JFrame.setExtendedState(MAXIMIZED_BOTH) work with undecorated frames?

The following Swing code doesn't work correctly on my machine or my co-workers machines (all Windows XP & Java 6):

public class Test {
    public static void main(String[] args) {
        final JFrame frame = new JFrame();
        frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        frame.setSize(800, 600);
        frame.setLayout(new FlowLayout());
        frame.add(new JButton(new AbstractAction("Maximize") {
            @Override
            public void actionPerformed(ActionEvent e) {
                frame.setExtendedState((frame.getExtendedState() & Frame.MAXIMIZED_BOTH) == Frame.MAXIMIZED_BOTH ? JFrame.NORMAL : JFrame.MAXIMIZED_BOTH);
            }
        }));
        frame.setUndecorated(true);
        frame.setVisible(true);
    }
}

It maximizes the window, but does not take into consideration the windows task bar (it fills the screen). If you comment out "frame.setUndecorated(true);" it seems to work correctly.

The Javadoc seems to imply this should work. Is this a bug in Java? Is it limited to a specific release, or version of Windows? Is there a workaround?

I've seen a few workarounds, but they seem incomplete. I can't be the first person to code my own frame decorations in Java.

EDIT: After downloading the OpenJDK and digging through the native code, I found that Java is calling the win32 function SetWindowPlacement and under some conditions altering MINMAXINFO to get the right window size. I think what I was seeing was the default windows behavior for a window with no title or border (although I can't find that documented anywhere). I've f