The answer is yes, and there's no conflicting information. Any person, article or resource that claims this doesn't occur is just plain wrong.
The linked article explains the process. This has not changed from Windows 2000 and carries forward all the way through Windows Server 2012 R2. Make note of these sections:
The transfer of an FSMO role is the suggested form of moving a FSMO role between domain controllers and can be initiated by the administrator or by demoting a domain controller
When a domain controller is demoted, the operational attribute "GiveAwayAllFsmoRoles" is written, which triggers the domain controller to locate other domain controllers to offload any roles it currently owns.