Not really. It works this way:
If you send a message after selecting a remote list inside MaxBulk Mailer, MLM will handle unsubscribes by deleting the addresses from that remote list.
If you send a message after selecting a local list inside MaxBulk Mailer, MLM will also handle unsubscribes but this time by marking those addresses as unsubscribed in your local list.
As you can see, there is no relations between local and remote lists. They are different.
In both cases unsubscribes are added to the statistics so you can get the list form the statistic panel.