The shared address book is not shared.
The manage shared address book check box was not checked when creation of the Directory Connector. Checking it (or un-checking it) after does not allow for sharing to be changed.
To share the address book, you either have to check manage shared address book upon creation
1- Delete the existing Address book created by this directory connector
2- Check the manage shared address book check box
3- Save and activate the connector
4- Run the connector
Manually share the address book with one user and then re-run the Directory Connector with "Managed Shared Address Book" checked, the connector with then find the existing shared address book and send out the invitations to the rest of the intended recipients.