How to share a mailbox calendar to a global security group?

Exchange 2003
Outlook 2003, Outlook 2000

We want to share our mailbox calendars to anyone within a specific global security group called "Support."  The way I thought it worked, and the way that Microsoft lists on their Outlook 2003 Assistance website, the steps you take are these:
1.  Right click on mailbox, select sharing
2.  Add security group "Support" as a Publishing Author
3.  Right click on calendar
4.  Add security group "Support" as a Publishing Author
5.  File -> Open other user's folder; username & calendar

For both the mailbox and the calendar, the permissions are these:
Default:  None
Support:  Publishing Author

We have very hit-or-miss success with this.  For instance, 3 other people can see my calendar and add appointments to it.  I can only "open" two of those three calendars but I can't see or add any appointments to them (they show up blank).  The third calendar I can't open at all.  All four in question here are running Outlook 2003.

We've set this up today and changes we make seem to take effect today (so I don't think it's a replication issue).  I've rebooted, closed/opened Outlook, I don't have Windows firewall running.  If any of the 3 other users add me specifically to their calendar permissions, I can see it just fine.  We are all in the Support global security group.  We recently upgraded from Exchange 5.5 where this worked flawlessly.  I have recreated the Support group since migrating.

The one computer running Outlook 2000 has even more problems than I do.  Any ideas EE?  I suppose manually adding each user is a work around but just makes managing the process a lot harder.
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sim2k_supportAuthor Commented:
The solution was to "Exit and Log Off" from the File menu on the OL 2000 box, or "Exit" from the OL 2003 File menu.  I guess that "X'ing" out of Outlook and rebooting does not do something that the file menu does.
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