I'm opening up a New Departure Model D tomorrow, has anyone else worked on these?

Here's the issue: the hub does not brake reliably. Basically what happens is that the brake ONLY works when backwards force is applied directly after forward pedaling. If you were to pedal forward, then coast, then attempt to apply the brake, it doesn't work. You would just pedal backwards to no success.

This hub has an oil port, does this mean that the hub should NOT be greased? I've read that most coaster hubs are to be packed liberally with grease, but this one would then be oil lubed and should be left to oil (well besides the cones)?