1. A method of handling a virtual data mover (VDM) failover situation, the method comprising: electronically adjusting a configuration file on a first physical data mover platform to indicate whether data managed by an initial VDM on the first physical data mover platform is being replicated from the first physical data mover platform to a second physical data mover platform; following a VDM failover event in which the initial VDM on the first physical data mover platform fails, electronically creating a replacement VDM on the first physical data mover platform that replaces the initial VDM; and after the replacement VDM is created, performing a network interface control operation that controls availability of network interfaces provided by the replacement VDM, the network interface control operation (i) enabling a set of network interfaces of the replacement VDM when the network interface control operation determines from the configuration file that the data managed by the initial VDM on the first physical data mover platform was not being replicated from the first physical data mover platform to the second physical data mover platform at the time of the VDM failover event, and (ii) disabling the set of network interfaces of the replacement VDM when the network interface control operation determines from the configuration file that the data managed by the initial VDM on the first physical data mover platform was being replicated from the first physical data mover platform to the second physical data mover platform at the time of the VDM failover event.