It can be a little embarrassing to help a man with his nipple but here goes....... :wink:
The earlier model engines pre 2005 and earlier, could be wrong on the exact date, didn't have a zerk fitting there. It was added later to help mitigate salt and corrosion that can build up between the bearing carrier and the aluminum lower unit housing. It's common for the grease there to cake up.
If it were mine I wouldn't expend too much effort into trying to push some grease in there. It sounds to me from your post that while the grease may be caked and not purgeable, there is in fact grease there in the gap between the aluminum housing and the internals which is keeping out salt/corrosion.
"IF" corrosion were to become an issue there because of SW intrusion, what would likely happen is because the gap between the steel internals and the aluminum housing is so thin, the expansion of the corrosion would cause a fracture in the aluminum housing.........if you see that then you know you have an issue. IMO nothing catastrophic is going to happen because you can't squeeze new grease into an already grease filled cavity.