Programmatically setting dock:name in Java on Mac

Question

I want to be able to set the dock:name of my Java application on a Mac.

I know that I can do it through the -Xdock:name="Xyz" option to the Java VM, but I would like to do it directly in my program.

According to this question it can be done by setting the "com.apple.mrj.application.apple.menu.about.name" property, but I simply cannot get that to work.

Consider this program:

import javax.swing.*;

public class Abc extends JFrame {
    public Abc() {
        setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        setSize(200, 200);
        setVisible(true);
    }

    public static void main(String[] args) {
        try {
            System.setProperty("com.apple.mrj.application.apple.menu.about.name", "Xyz");
            System.setProperty("apple.laf.useScreenMenuBar", "true");
            UIManager.setLookAndFeel(UIManager.getSystemLookAndFeelClassName());
        }
        catch(Exception e) {
            System.out.println("Exception: " + e.getMessage());
        }

        SwingUtilities.invokeLater(new Runnable() {
                public void run() {
                    new Abc();
                }
            });
    }
}

I would have expected that to work, but it doesn't. I'm using OS X 10.8.2 (Mountain Lion) and Java 1.7.0_09, both of which are very new versions. Perhaps the API has changed?

What am I doing wrong?