I don't think you will now. You will notice a few things happen though you didn't see before. If the remote server does not respond to a ping the 'Unmount' button will be greyed out. You can't unmount a remote share if the server is offline. If the server responds to a ping, but is not running, you should be able to unmount the remote share.
If the remote server goes offline when a remote share is mounted, none of the other mounts will show open files. The biggest issue with hangs was with the lsof command that is used to check for open files.