I'm confused as to what your socket is attached to in the first photo.
If it's anything like my 8 speed Ultegra, the attached instructions say to use the allen wrench to remove the bolt holding the freehub. Note, the attached directions say never to disassemble it! I would probably just try to dribble the thick oil into it or soak it in the oil. I bought the big allen wrench, but never had the urge to use it.
