The Backup Designated Router exists specifically to provide immediate failover redundancy for the Designated Router role on a multi-access broadcast or NBMA segment: the BDR maintains full adjacencies with every other router on the segment concurrently with the DR, precisely so that if the DR ever fails or is withdrawn, the BDR can be promoted directly to DR essentially instantaneously, without needing to wait through a fresh, full DR/BDR election process, and a new BDR election then takes place separately among the remaining DROther routers to fill the now-vacant backup role. This immediate promotion behavior confirms the first statement as correct. The Designated Router's other core responsibility on the segment is originating the Type 2 Network LSA, which describes the multi-access network itself as a pseudonode, listing every router attached to that segment; this LSA type exists specifically to avoid the full-mesh explosion of Router LSA adjacency listings that would otherwise be needed to describe a shared broadcast segment, and only the DR — never the BDR, and never any DROther — is responsible for generating and maintaining this particular LSA under normal, stable conditions, which confirms the third statement while directly ruling out the fourth. There is no such thing as the DR 'electing' an area border router; ABR status is instead a role a router acquires organically by having interfaces in more than one OSPF area, entirely independent of any DR/BDR election process on any individual segment. Reference topics: Junos Enterprise Routing – OSPF, DR/BDR Roles and Type 2 Network LSA Origination.