I would say no - the management IP is a bit like an out of band management address to SSH into and manage the DLR Control VM. As I understand it there's nothing to stop you SSHing into the OSPF protocol address either but this would probably be an address on the transit network and separate. The management network would be something reserved entirely for management. You don't need to manually configure an interface for the protocol address - setting it as part of enabling OSPF configures it.
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