Nimbus L&F: wrong "packing" of a frame containing tabbed pane

JDK: 6u10+, JDK7
L&F:
  Fails: Nimbus
  Passed: others
OS: Solaris/GNOME

When calling pack() on a frame containing tabbed pane under Nimbus, not all the tabs are resized properly.
Please see the attached screenshot that corresponds the following code sample.
It is extracted from JCK testcase.

------------------------------------------------------------------------------
import javax.swing.*;
import java.awt.*;
import java.lang.reflect.InvocationTargetException;

public class Test_indexAtLocation {

    public static void main(String[] args) throws InvocationTargetException, InterruptedException {

        SwingUtilities.invokeAndWait(new Runnable() {
            @Override
            public void run() {
                final Component components[] = {new Container(), new JButton(), new JCheckBox()};
                final String names[] = {"1", "2", "3"};

                final JTabbedPane tabbedPane = new JTabbedPane();


                for (int j = 0; j < components.length; j++) {
                    tabbedPane.addTab(names[j], components[j]); // Fill the set
                }

                final JFrame fr = new JFrame();
                fr.getContentPane().add(tabbedPane);

                fr.pack();
                fr.setVisible(true);

                for (int i = 0; i < tabbedPane.getTabCount(); i++) {
                    Rectangle rr = tabbedPane.getBoundsAt(i);
                    int index = tabbedPane.indexAtLocation(
                            rr.x + rr.width / 2, rr.y + rr.height / 2);
                    if (index != i) {
                        System.out.println("indexAtLocation returns " + index + " for pane, but " + i + " is expected for[" + i + "] = " + rr + "!");
                    }
                }
                System.out.println("OK");
            }
        });
    }

}
------------------------------------------------------------------------------

With -Dswing.defaultlaf=javax.swing.plaf.nimbus.NimbusLookAndFeel

the output will be:

indexAtLocation returns 1 for pane, but 2 is expected for[2] = java.awt.Rectangle[x=25,y=63,width=-7,height=22]!


The following JCK test fails with Nimbus
api/javax_swing/JTabbedPane/index2.html#various[JTabbedPane2302]