Once set up, I can shut down a machine at one location, move it, bring it back up, and it's back in business. There are situations where we might want to migrate to new machines during the move, which this makes no harder. But for many things it makes them easier.
For example, the last move went something like this: Set up the VPN+bridge. Move half the application servers. Set up new firewall/load balancer since we were replacing the old ones. Test the new fw/lb. Physically move the primary database server during a maintenance window and switch over to the new fw/lb. If there were problems, just switch back to the old one via DNS record changes (TTL was lowered weeks earlier). Move the remaining app servers. During the bridging setup, the LBs preferred the local app servers.
EDIT: *and proxy arp requests through
It was a strange beast but there were a few odd spots it was better than active directory - e.g. an "Organizational Role" could be created and have a user assigned to it, so you could more easily seperate the user (john smith) from their position and the permissions that go with it (finance director). So when john smith retires it is trivial to replace the occupant of the finance director organisational role.
That way the sender doesn't get delayed by unknown turnover, and the new recipient has full history to look back upon instead of starting cold.
In addition to device discovery, these are frequently used for heartbeat messages to indicate that you are still alive (for high-availability protocols like VRRP).